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Finding the Third Proportional to 15,274 and 23,670

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Solution

The third proportional to 15,274 and 23,670 is: 36,681.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,274 : 23,670 = 23,670 : x
  2. Step 2: Convert to fraction form
    15,274/23,670 = 23,670/x
  3. Step 3: Cross multiply
    15,274x = 23,670 × 23,670
  4. Step 4: Simplify right side
    15,274x = 560,268,900
  5. Step 5: Solve for x
    x = 560,268,900/15,274
  6. Step 6: Final answer
    x = 36,681.22

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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.