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Finding the Third Proportional to 48,115.50 and 75,577.50

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Solution

The third proportional to 48,115.50 and 75,577.50 is: 118,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,115.50 : 75,577.50 = 75,577.50 : x
  2. Step 2: Convert to fraction form
    48,115.50/75,577.50 = 75,577.50/x
  3. Step 3: Cross multiply
    48,115.50x = 75,577.50 × 75,577.50
  4. Step 4: Simplify right side
    48,115.50x = 5,711,958,506.25
  5. Step 5: Solve for x
    x = 5,711,958,506.25/48,115.50
  6. Step 6: Final answer
    x = 118,713.48

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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.