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Finding the Third Proportional to 48,532.50 and 75,417.75

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Solution

The third proportional to 48,532.50 and 75,417.75 is: 117,196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,532.50 : 75,417.75 = 75,417.75 : x
  2. Step 2: Convert to fraction form
    48,532.50/75,417.75 = 75,417.75/x
  3. Step 3: Cross multiply
    48,532.50x = 75,417.75 × 75,417.75
  4. Step 4: Simplify right side
    48,532.50x = 5,687,837,015.06
  5. Step 5: Solve for x
    x = 5,687,837,015.06/48,532.50
  6. Step 6: Final answer
    x = 117,196.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.