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Finding the Third Proportional to 22,988 and 47,414

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Solution

The third proportional to 22,988 and 47,414 is: 97,793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,988 : 47,414 = 47,414 : x
  2. Step 2: Convert to fraction form
    22,988/47,414 = 47,414/x
  3. Step 3: Cross multiply
    22,988x = 47,414 × 47,414
  4. Step 4: Simplify right side
    22,988x = 2,248,087,396
  5. Step 5: Solve for x
    x = 2,248,087,396/22,988
  6. Step 6: Final answer
    x = 97,793.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.