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Finding the Third Proportional to 22,700 and 34,081

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Solution

The third proportional to 22,700 and 34,081 is: 51,168.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,700 : 34,081 = 34,081 : x
  2. Step 2: Convert to fraction form
    22,700/34,081 = 34,081/x
  3. Step 3: Cross multiply
    22,700x = 34,081 × 34,081
  4. Step 4: Simplify right side
    22,700x = 1,161,514,561
  5. Step 5: Solve for x
    x = 1,161,514,561/22,700
  6. Step 6: Final answer
    x = 51,168.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.