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Finding the Third Proportional to 38,272.50 and 57,444.19

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Solution

The third proportional to 38,272.50 and 57,444.19 is: 86,219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,272.50 : 57,444.19 = 57,444.19 : x
  2. Step 2: Convert to fraction form
    38,272.50/57,444.19 = 57,444.19/x
  3. Step 3: Cross multiply
    38,272.50x = 57,444.19 × 57,444.19
  4. Step 4: Simplify right side
    38,272.50x = 3,299,834,677.54
  5. Step 5: Solve for x
    x = 3,299,834,677.54/38,272.50
  6. Step 6: Final answer
    x = 86,219.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.