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Finding the Third Proportional to 5,877.56 and 12,240.84

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Solution

The third proportional to 5,877.56 and 12,240.84 is: 25,493.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.56 : 12,240.84 = 12,240.84 : x
  2. Step 2: Convert to fraction form
    5,877.56/12,240.84 = 12,240.84/x
  3. Step 3: Cross multiply
    5,877.56x = 12,240.84 × 12,240.84
  4. Step 4: Simplify right side
    5,877.56x = 149,838,255.71
  5. Step 5: Solve for x
    x = 149,838,255.71/5,877.56
  6. Step 6: Final answer
    x = 25,493.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.