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Finding the Third Proportional to 36,240 and 57,657

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Solution

The third proportional to 36,240 and 57,657 is: 91,730.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,240 : 57,657 = 57,657 : x
  2. Step 2: Convert to fraction form
    36,240/57,657 = 57,657/x
  3. Step 3: Cross multiply
    36,240x = 57,657 × 57,657
  4. Step 4: Simplify right side
    36,240x = 3,324,329,649
  5. Step 5: Solve for x
    x = 3,324,329,649/36,240
  6. Step 6: Final answer
    x = 91,730.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.