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Finding the Third Proportional to 47,032 and 62,700

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Solution

The third proportional to 47,032 and 62,700 is: 83,587.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,032 : 62,700 = 62,700 : x
  2. Step 2: Convert to fraction form
    47,032/62,700 = 62,700/x
  3. Step 3: Cross multiply
    47,032x = 62,700 × 62,700
  4. Step 4: Simplify right side
    47,032x = 3,931,290,000
  5. Step 5: Solve for x
    x = 3,931,290,000/47,032
  6. Step 6: Final answer
    x = 83,587.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.