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Finding the Third Proportional to 67,530.50 and 72,757

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Solution

The third proportional to 67,530.50 and 72,757 is: 78,388.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,530.50 : 72,757 = 72,757 : x
  2. Step 2: Convert to fraction form
    67,530.50/72,757 = 72,757/x
  3. Step 3: Cross multiply
    67,530.50x = 72,757 × 72,757
  4. Step 4: Simplify right side
    67,530.50x = 5,293,581,049
  5. Step 5: Solve for x
    x = 5,293,581,049/67,530.50
  6. Step 6: Final answer
    x = 78,388.00

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.