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Finding the Third Proportional to 38,867.50 and 60,019

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Solution

The third proportional to 38,867.50 and 60,019 is: 92,681.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,867.50 : 60,019 = 60,019 : x
  2. Step 2: Convert to fraction form
    38,867.50/60,019 = 60,019/x
  3. Step 3: Cross multiply
    38,867.50x = 60,019 × 60,019
  4. Step 4: Simplify right side
    38,867.50x = 3,602,280,361
  5. Step 5: Solve for x
    x = 3,602,280,361/38,867.50
  6. Step 6: Final answer
    x = 92,681.04

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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.