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Finding the Third Proportional to 44,263 and 67,685

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Solution

The third proportional to 44,263 and 67,685 is: 103,500.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,263 : 67,685 = 67,685 : x
  2. Step 2: Convert to fraction form
    44,263/67,685 = 67,685/x
  3. Step 3: Cross multiply
    44,263x = 67,685 × 67,685
  4. Step 4: Simplify right side
    44,263x = 4,581,259,225
  5. Step 5: Solve for x
    x = 4,581,259,225/44,263
  6. Step 6: Final answer
    x = 103,500.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.