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Finding the Third Proportional to 38,035 and 59,125.50

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Solution

The third proportional to 38,035 and 59,125.50 is: 91,910.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,035 : 59,125.50 = 59,125.50 : x
  2. Step 2: Convert to fraction form
    38,035/59,125.50 = 59,125.50/x
  3. Step 3: Cross multiply
    38,035x = 59,125.50 × 59,125.50
  4. Step 4: Simplify right side
    38,035x = 3,495,824,750.25
  5. Step 5: Solve for x
    x = 3,495,824,750.25/38,035
  6. Step 6: Final answer
    x = 91,910.73

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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.