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Finding the Third Proportional to 22,514 and 34,785

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Solution

The third proportional to 22,514 and 34,785 is: 53,744.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514 : 34,785 = 34,785 : x
  2. Step 2: Convert to fraction form
    22,514/34,785 = 34,785/x
  3. Step 3: Cross multiply
    22,514x = 34,785 × 34,785
  4. Step 4: Simplify right side
    22,514x = 1,209,996,225
  5. Step 5: Solve for x
    x = 1,209,996,225/22,514
  6. Step 6: Final answer
    x = 53,744.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.