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Finding the Third Proportional to 47,657.25 and 101,871

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Solution

The third proportional to 47,657.25 and 101,871 is: 217,757.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,657.25 : 101,871 = 101,871 : x
  2. Step 2: Convert to fraction form
    47,657.25/101,871 = 101,871/x
  3. Step 3: Cross multiply
    47,657.25x = 101,871 × 101,871
  4. Step 4: Simplify right side
    47,657.25x = 10,377,700,641
  5. Step 5: Solve for x
    x = 10,377,700,641/47,657.25
  6. Step 6: Final answer
    x = 217,757.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.