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Finding the Third Proportional to 48,170 and 63,931

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Solution

The third proportional to 48,170 and 63,931 is: 84,848.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,170 : 63,931 = 63,931 : x
  2. Step 2: Convert to fraction form
    48,170/63,931 = 63,931/x
  3. Step 3: Cross multiply
    48,170x = 63,931 × 63,931
  4. Step 4: Simplify right side
    48,170x = 4,087,172,761
  5. Step 5: Solve for x
    x = 4,087,172,761/48,170
  6. Step 6: Final answer
    x = 84,848.93

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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.