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Finding the Third Proportional to 22,331 and 38,033

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Solution

The third proportional to 22,331 and 38,033 is: 64,775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,331 : 38,033 = 38,033 : x
  2. Step 2: Convert to fraction form
    22,331/38,033 = 38,033/x
  3. Step 3: Cross multiply
    22,331x = 38,033 × 38,033
  4. Step 4: Simplify right side
    22,331x = 1,446,509,089
  5. Step 5: Solve for x
    x = 1,446,509,089/22,331
  6. Step 6: Final answer
    x = 64,775.83

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.