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Finding the Third Proportional to 32,416 and 71,636

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Solution

The third proportional to 32,416 and 71,636 is: 158,308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,416 : 71,636 = 71,636 : x
  2. Step 2: Convert to fraction form
    32,416/71,636 = 71,636/x
  3. Step 3: Cross multiply
    32,416x = 71,636 × 71,636
  4. Step 4: Simplify right side
    32,416x = 5,131,716,496
  5. Step 5: Solve for x
    x = 5,131,716,496/32,416
  6. Step 6: Final answer
    x = 158,308.13

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.