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Finding the Third Proportional to 38,581.50 and 59,385

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Solution

The third proportional to 38,581.50 and 59,385 is: 91,405.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,581.50 : 59,385 = 59,385 : x
  2. Step 2: Convert to fraction form
    38,581.50/59,385 = 59,385/x
  3. Step 3: Cross multiply
    38,581.50x = 59,385 × 59,385
  4. Step 4: Simplify right side
    38,581.50x = 3,526,578,225
  5. Step 5: Solve for x
    x = 3,526,578,225/38,581.50
  6. Step 6: Final answer
    x = 91,405.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.