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Finding the Third Proportional to 49,020.75 and 77,898.38

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Solution

The third proportional to 49,020.75 and 77,898.38 is: 123,787.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,020.75 : 77,898.38 = 77,898.38 : x
  2. Step 2: Convert to fraction form
    49,020.75/77,898.38 = 77,898.38/x
  3. Step 3: Cross multiply
    49,020.75x = 77,898.38 × 77,898.38
  4. Step 4: Simplify right side
    49,020.75x = 6,068,156,827.64
  5. Step 5: Solve for x
    x = 6,068,156,827.64/49,020.75
  6. Step 6: Final answer
    x = 123,787.52

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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.