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Finding the Third Proportional to 28,014 and 43,374

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Solution

The third proportional to 28,014 and 43,374 is: 67,155.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,014 : 43,374 = 43,374 : x
  2. Step 2: Convert to fraction form
    28,014/43,374 = 43,374/x
  3. Step 3: Cross multiply
    28,014x = 43,374 × 43,374
  4. Step 4: Simplify right side
    28,014x = 1,881,303,876
  5. Step 5: Solve for x
    x = 1,881,303,876/28,014
  6. Step 6: Final answer
    x = 67,155.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.