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Finding the Third Proportional to 29,614 and 47,122

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Solution

The third proportional to 29,614 and 47,122 is: 74,980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,614 : 47,122 = 47,122 : x
  2. Step 2: Convert to fraction form
    29,614/47,122 = 47,122/x
  3. Step 3: Cross multiply
    29,614x = 47,122 × 47,122
  4. Step 4: Simplify right side
    29,614x = 2,220,482,884
  5. Step 5: Solve for x
    x = 2,220,482,884/29,614
  6. Step 6: Final answer
    x = 74,980.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.