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Finding the Third Proportional to 36,920.81 and 57,277.13

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Solution

The third proportional to 36,920.81 and 57,277.13 is: 88,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,920.81 : 57,277.13 = 57,277.13 : x
  2. Step 2: Convert to fraction form
    36,920.81/57,277.13 = 57,277.13/x
  3. Step 3: Cross multiply
    36,920.81x = 57,277.13 × 57,277.13
  4. Step 4: Simplify right side
    36,920.81x = 3,280,669,048.27
  5. Step 5: Solve for x
    x = 3,280,669,048.27/36,920.81
  6. Step 6: Final answer
    x = 88,856.90

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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.