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Finding the Third Proportional to 37,913.70 and 54,615.20

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Solution

The third proportional to 37,913.70 and 54,615.20 is: 78,673.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,913.70 : 54,615.20 = 54,615.20 : x
  2. Step 2: Convert to fraction form
    37,913.70/54,615.20 = 54,615.20/x
  3. Step 3: Cross multiply
    37,913.70x = 54,615.20 × 54,615.20
  4. Step 4: Simplify right side
    37,913.70x = 2,982,819,985.70
  5. Step 5: Solve for x
    x = 2,982,819,985.70/37,913.70
  6. Step 6: Final answer
    x = 78,673.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.