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Finding the Third Proportional to 47,160 and 62,295

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Solution

The third proportional to 47,160 and 62,295 is: 82,287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,160 : 62,295 = 62,295 : x
  2. Step 2: Convert to fraction form
    47,160/62,295 = 62,295/x
  3. Step 3: Cross multiply
    47,160x = 62,295 × 62,295
  4. Step 4: Simplify right side
    47,160x = 3,880,667,025
  5. Step 5: Solve for x
    x = 3,880,667,025/47,160
  6. Step 6: Final answer
    x = 82,287.26

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.