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Finding the Third Proportional to 14,416 and 22,532

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Solution

The third proportional to 14,416 and 22,532 is: 35,217.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416 : 22,532 = 22,532 : x
  2. Step 2: Convert to fraction form
    14,416/22,532 = 22,532/x
  3. Step 3: Cross multiply
    14,416x = 22,532 × 22,532
  4. Step 4: Simplify right side
    14,416x = 507,691,024
  5. Step 5: Solve for x
    x = 507,691,024/14,416
  6. Step 6: Final answer
    x = 35,217.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.