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Finding the Third Proportional to 22,428 and 31,447

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Solution

The third proportional to 22,428 and 31,447 is: 44,092.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,428 : 31,447 = 31,447 : x
  2. Step 2: Convert to fraction form
    22,428/31,447 = 31,447/x
  3. Step 3: Cross multiply
    22,428x = 31,447 × 31,447
  4. Step 4: Simplify right side
    22,428x = 988,913,809
  5. Step 5: Solve for x
    x = 988,913,809/22,428
  6. Step 6: Final answer
    x = 44,092.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.