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Finding the Third Proportional to 40,200 and 62,184

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Solution

The third proportional to 40,200 and 62,184 is: 96,190.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,200 : 62,184 = 62,184 : x
  2. Step 2: Convert to fraction form
    40,200/62,184 = 62,184/x
  3. Step 3: Cross multiply
    40,200x = 62,184 × 62,184
  4. Step 4: Simplify right side
    40,200x = 3,866,849,856
  5. Step 5: Solve for x
    x = 3,866,849,856/40,200
  6. Step 6: Final answer
    x = 96,190.29

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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.