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Finding the Third Proportional to 47,715 and 101,586

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Solution

The third proportional to 47,715 and 101,586 is: 216,278.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,715 : 101,586 = 101,586 : x
  2. Step 2: Convert to fraction form
    47,715/101,586 = 101,586/x
  3. Step 3: Cross multiply
    47,715x = 101,586 × 101,586
  4. Step 4: Simplify right side
    47,715x = 10,319,715,396
  5. Step 5: Solve for x
    x = 10,319,715,396/47,715
  6. Step 6: Final answer
    x = 216,278.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.