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Finding the Third Proportional to 24,196 and 51,720

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Solution

The third proportional to 24,196 and 51,720 is: 110,553.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,196 : 51,720 = 51,720 : x
  2. Step 2: Convert to fraction form
    24,196/51,720 = 51,720/x
  3. Step 3: Cross multiply
    24,196x = 51,720 × 51,720
  4. Step 4: Simplify right side
    24,196x = 2,674,958,400
  5. Step 5: Solve for x
    x = 2,674,958,400/24,196
  6. Step 6: Final answer
    x = 110,553.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.