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Finding the Third Proportional to 49,966.88 and 75,972.94

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Solution

The third proportional to 49,966.88 and 75,972.94 is: 115,514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,966.88 : 75,972.94 = 75,972.94 : x
  2. Step 2: Convert to fraction form
    49,966.88/75,972.94 = 75,972.94/x
  3. Step 3: Cross multiply
    49,966.88x = 75,972.94 × 75,972.94
  4. Step 4: Simplify right side
    49,966.88x = 5,771,887,232.38
  5. Step 5: Solve for x
    x = 5,771,887,232.38/49,966.88
  6. Step 6: Final answer
    x = 115,514.27

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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.