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Finding the Third Proportional to 28,170 and 37,940

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Solution

The third proportional to 28,170 and 37,940 is: 51,098.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,170 : 37,940 = 37,940 : x
  2. Step 2: Convert to fraction form
    28,170/37,940 = 37,940/x
  3. Step 3: Cross multiply
    28,170x = 37,940 × 37,940
  4. Step 4: Simplify right side
    28,170x = 1,439,443,600
  5. Step 5: Solve for x
    x = 1,439,443,600/28,170
  6. Step 6: Final answer
    x = 51,098.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.