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Finding the Third Proportional to 38,508.75 and 83,335.50

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Solution

The third proportional to 38,508.75 and 83,335.50 is: 180,343.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,508.75 : 83,335.50 = 83,335.50 : x
  2. Step 2: Convert to fraction form
    38,508.75/83,335.50 = 83,335.50/x
  3. Step 3: Cross multiply
    38,508.75x = 83,335.50 × 83,335.50
  4. Step 4: Simplify right side
    38,508.75x = 6,944,805,560.25
  5. Step 5: Solve for x
    x = 6,944,805,560.25/38,508.75
  6. Step 6: Final answer
    x = 180,343.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.