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Finding the Third Proportional to 47,650 and 75,568

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Solution

The third proportional to 47,650 and 75,568 is: 119,843.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,650 : 75,568 = 75,568 : x
  2. Step 2: Convert to fraction form
    47,650/75,568 = 75,568/x
  3. Step 3: Cross multiply
    47,650x = 75,568 × 75,568
  4. Step 4: Simplify right side
    47,650x = 5,710,522,624
  5. Step 5: Solve for x
    x = 5,710,522,624/47,650
  6. Step 6: Final answer
    x = 119,843.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.