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Finding the Third Proportional to 32,306 and 43,638

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Solution

The third proportional to 32,306 and 43,638 is: 58,944.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,306 : 43,638 = 43,638 : x
  2. Step 2: Convert to fraction form
    32,306/43,638 = 43,638/x
  3. Step 3: Cross multiply
    32,306x = 43,638 × 43,638
  4. Step 4: Simplify right side
    32,306x = 1,904,275,044
  5. Step 5: Solve for x
    x = 1,904,275,044/32,306
  6. Step 6: Final answer
    x = 58,944.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.