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Finding the Third Proportional to 48,296.25 and 75,390.75

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Solution

The third proportional to 48,296.25 and 75,390.75 is: 117,685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,296.25 : 75,390.75 = 75,390.75 : x
  2. Step 2: Convert to fraction form
    48,296.25/75,390.75 = 75,390.75/x
  3. Step 3: Cross multiply
    48,296.25x = 75,390.75 × 75,390.75
  4. Step 4: Simplify right side
    48,296.25x = 5,683,765,185.56
  5. Step 5: Solve for x
    x = 5,683,765,185.56/48,296.25
  6. Step 6: Final answer
    x = 117,685.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.