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Finding the Third Proportional to 23,877.56 and 51,423.75

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Solution

The third proportional to 23,877.56 and 51,423.75 is: 110,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,877.56 : 51,423.75 = 51,423.75 : x
  2. Step 2: Convert to fraction form
    23,877.56/51,423.75 = 51,423.75/x
  3. Step 3: Cross multiply
    23,877.56x = 51,423.75 × 51,423.75
  4. Step 4: Simplify right side
    23,877.56x = 2,644,402,064.06
  5. Step 5: Solve for x
    x = 2,644,402,064.06/23,877.56
  6. Step 6: Final answer
    x = 110,748.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.