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Finding the Third Proportional to 22,258 and 29,731

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Solution

The third proportional to 22,258 and 29,731 is: 39,713.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,258 : 29,731 = 29,731 : x
  2. Step 2: Convert to fraction form
    22,258/29,731 = 29,731/x
  3. Step 3: Cross multiply
    22,258x = 29,731 × 29,731
  4. Step 4: Simplify right side
    22,258x = 883,932,361
  5. Step 5: Solve for x
    x = 883,932,361/22,258
  6. Step 6: Final answer
    x = 39,713.02

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.