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Finding the Third Proportional to 22,478 and 34,731

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Solution

The third proportional to 22,478 and 34,731 is: 53,663.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,478 : 34,731 = 34,731 : x
  2. Step 2: Convert to fraction form
    22,478/34,731 = 34,731/x
  3. Step 3: Cross multiply
    22,478x = 34,731 × 34,731
  4. Step 4: Simplify right side
    22,478x = 1,206,242,361
  5. Step 5: Solve for x
    x = 1,206,242,361/22,478
  6. Step 6: Final answer
    x = 53,663.24

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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.