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Finding the Third Proportional to 13,902 and 30,572

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Solution

The third proportional to 13,902 and 30,572 is: 67,231.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902 : 30,572 = 30,572 : x
  2. Step 2: Convert to fraction form
    13,902/30,572 = 30,572/x
  3. Step 3: Cross multiply
    13,902x = 30,572 × 30,572
  4. Step 4: Simplify right side
    13,902x = 934,647,184
  5. Step 5: Solve for x
    x = 934,647,184/13,902
  6. Step 6: Final answer
    x = 67,231.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.