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Finding the Third Proportional to 49,582.13 and 76,966.88

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Solution

The third proportional to 49,582.13 and 76,966.88 is: 119,476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,582.13 : 76,966.88 = 76,966.88 : x
  2. Step 2: Convert to fraction form
    49,582.13/76,966.88 = 76,966.88/x
  3. Step 3: Cross multiply
    49,582.13x = 76,966.88 × 76,966.88
  4. Step 4: Simplify right side
    49,582.13x = 5,923,899,847.27
  5. Step 5: Solve for x
    x = 5,923,899,847.27/49,582.13
  6. Step 6: Final answer
    x = 119,476.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.