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Finding the Third Proportional to 48,448.13 and 71,077.50

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Solution

The third proportional to 48,448.13 and 71,077.50 is: 104,276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,448.13 : 71,077.50 = 71,077.50 : x
  2. Step 2: Convert to fraction form
    48,448.13/71,077.50 = 71,077.50/x
  3. Step 3: Cross multiply
    48,448.13x = 71,077.50 × 71,077.50
  4. Step 4: Simplify right side
    48,448.13x = 5,052,011,006.25
  5. Step 5: Solve for x
    x = 5,052,011,006.25/48,448.13
  6. Step 6: Final answer
    x = 104,276.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.