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Finding the Third Proportional to 49,666 and 75,646

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Solution

The third proportional to 49,666 and 75,646 is: 115,215.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,666 : 75,646 = 75,646 : x
  2. Step 2: Convert to fraction form
    49,666/75,646 = 75,646/x
  3. Step 3: Cross multiply
    49,666x = 75,646 × 75,646
  4. Step 4: Simplify right side
    49,666x = 5,722,317,316
  5. Step 5: Solve for x
    x = 5,722,317,316/49,666
  6. Step 6: Final answer
    x = 115,215.99

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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.