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Finding the Third Proportional to 37,948.75 and 56,615

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Solution

The third proportional to 37,948.75 and 56,615 is: 84,462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,948.75 : 56,615 = 56,615 : x
  2. Step 2: Convert to fraction form
    37,948.75/56,615 = 56,615/x
  3. Step 3: Cross multiply
    37,948.75x = 56,615 × 56,615
  4. Step 4: Simplify right side
    37,948.75x = 3,205,258,225
  5. Step 5: Solve for x
    x = 3,205,258,225/37,948.75
  6. Step 6: Final answer
    x = 84,462.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.