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Finding the Third Proportional to 48,666 and 73,911

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Solution

The third proportional to 48,666 and 73,911 is: 112,251.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,666 : 73,911 = 73,911 : x
  2. Step 2: Convert to fraction form
    48,666/73,911 = 73,911/x
  3. Step 3: Cross multiply
    48,666x = 73,911 × 73,911
  4. Step 4: Simplify right side
    48,666x = 5,462,835,921
  5. Step 5: Solve for x
    x = 5,462,835,921/48,666
  6. Step 6: Final answer
    x = 112,251.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.