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Finding the Third Proportional to 48,548.25 and 76,285.13

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Solution

The third proportional to 48,548.25 and 76,285.13 is: 119,868.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,548.25 : 76,285.13 = 76,285.13 : x
  2. Step 2: Convert to fraction form
    48,548.25/76,285.13 = 76,285.13/x
  3. Step 3: Cross multiply
    48,548.25x = 76,285.13 × 76,285.13
  4. Step 4: Simplify right side
    48,548.25x = 5,819,420,296.27
  5. Step 5: Solve for x
    x = 5,819,420,296.27/48,548.25
  6. Step 6: Final answer
    x = 119,868.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.