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Finding the Third Proportional to 29,665 and 47,135

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Solution

The third proportional to 29,665 and 47,135 is: 74,893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,665 : 47,135 = 47,135 : x
  2. Step 2: Convert to fraction form
    29,665/47,135 = 47,135/x
  3. Step 3: Cross multiply
    29,665x = 47,135 × 47,135
  4. Step 4: Simplify right side
    29,665x = 2,221,708,225
  5. Step 5: Solve for x
    x = 2,221,708,225/29,665
  6. Step 6: Final answer
    x = 74,893.25

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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.