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Finding the Third Proportional to 50,882.25 and 77,834.38

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Solution

The third proportional to 50,882.25 and 77,834.38 is: 119,062.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,882.25 : 77,834.38 = 77,834.38 : x
  2. Step 2: Convert to fraction form
    50,882.25/77,834.38 = 77,834.38/x
  3. Step 3: Cross multiply
    50,882.25x = 77,834.38 × 77,834.38
  4. Step 4: Simplify right side
    50,882.25x = 6,058,189,931.64
  5. Step 5: Solve for x
    x = 6,058,189,931.64/50,882.25
  6. Step 6: Final answer
    x = 119,062.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.