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Finding the Third Proportional to 48,435.75 and 75,523.50

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Solution

The third proportional to 48,435.75 and 75,523.50 is: 117,760.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,435.75 : 75,523.50 = 75,523.50 : x
  2. Step 2: Convert to fraction form
    48,435.75/75,523.50 = 75,523.50/x
  3. Step 3: Cross multiply
    48,435.75x = 75,523.50 × 75,523.50
  4. Step 4: Simplify right side
    48,435.75x = 5,703,799,052.25
  5. Step 5: Solve for x
    x = 5,703,799,052.25/48,435.75
  6. Step 6: Final answer
    x = 117,760.11

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