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Finding the Third Proportional to 44,814 and 67,785

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Solution

The third proportional to 44,814 and 67,785 is: 102,530.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,814 : 67,785 = 67,785 : x
  2. Step 2: Convert to fraction form
    44,814/67,785 = 67,785/x
  3. Step 3: Cross multiply
    44,814x = 67,785 × 67,785
  4. Step 4: Simplify right side
    44,814x = 4,594,806,225
  5. Step 5: Solve for x
    x = 4,594,806,225/44,814
  6. Step 6: Final answer
    x = 102,530.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.