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Finding the Third Proportional to 65,863.50 and 72,019.50

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Solution

The third proportional to 65,863.50 and 72,019.50 is: 78,750.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,863.50 : 72,019.50 = 72,019.50 : x
  2. Step 2: Convert to fraction form
    65,863.50/72,019.50 = 72,019.50/x
  3. Step 3: Cross multiply
    65,863.50x = 72,019.50 × 72,019.50
  4. Step 4: Simplify right side
    65,863.50x = 5,186,808,380.25
  5. Step 5: Solve for x
    x = 5,186,808,380.25/65,863.50
  6. Step 6: Final answer
    x = 78,750.88

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.