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Finding the Third Proportional to 32,159.25 and 49,470.75

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Solution

The third proportional to 32,159.25 and 49,470.75 is: 76,101.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,159.25 : 49,470.75 = 49,470.75 : x
  2. Step 2: Convert to fraction form
    32,159.25/49,470.75 = 49,470.75/x
  3. Step 3: Cross multiply
    32,159.25x = 49,470.75 × 49,470.75
  4. Step 4: Simplify right side
    32,159.25x = 2,447,355,105.56
  5. Step 5: Solve for x
    x = 2,447,355,105.56/32,159.25
  6. Step 6: Final answer
    x = 76,101.13

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.