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Finding the Third Proportional to 49,084 and 77,847

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Solution

The third proportional to 49,084 and 77,847 is: 123,464.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,084 : 77,847 = 77,847 : x
  2. Step 2: Convert to fraction form
    49,084/77,847 = 77,847/x
  3. Step 3: Cross multiply
    49,084x = 77,847 × 77,847
  4. Step 4: Simplify right side
    49,084x = 6,060,155,409
  5. Step 5: Solve for x
    x = 6,060,155,409/49,084
  6. Step 6: Final answer
    x = 123,464.99

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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.