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Finding the Third Proportional to 32,942 and 75,429

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Solution

The third proportional to 32,942 and 75,429 is: 172,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,942 : 75,429 = 75,429 : x
  2. Step 2: Convert to fraction form
    32,942/75,429 = 75,429/x
  3. Step 3: Cross multiply
    32,942x = 75,429 × 75,429
  4. Step 4: Simplify right side
    32,942x = 5,689,534,041
  5. Step 5: Solve for x
    x = 5,689,534,041/32,942
  6. Step 6: Final answer
    x = 172,713.68

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.