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Finding the Third Proportional to 13,374 and 23,670

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Solution

The third proportional to 13,374 and 23,670 is: 41,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374 : 23,670 = 23,670 : x
  2. Step 2: Convert to fraction form
    13,374/23,670 = 23,670/x
  3. Step 3: Cross multiply
    13,374x = 23,670 × 23,670
  4. Step 4: Simplify right side
    13,374x = 560,268,900
  5. Step 5: Solve for x
    x = 560,268,900/13,374
  6. Step 6: Final answer
    x = 41,892.40

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.