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Finding the Third Proportional to 37,098 and 47,006

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Solution

The third proportional to 37,098 and 47,006 is: 59,560.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,098 : 47,006 = 47,006 : x
  2. Step 2: Convert to fraction form
    37,098/47,006 = 47,006/x
  3. Step 3: Cross multiply
    37,098x = 47,006 × 47,006
  4. Step 4: Simplify right side
    37,098x = 2,209,564,036
  5. Step 5: Solve for x
    x = 2,209,564,036/37,098
  6. Step 6: Final answer
    x = 59,560.19

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.