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Finding the Third Proportional to 15,409 and 23,767

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Solution

The third proportional to 15,409 and 23,767 is: 36,658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,409 : 23,767 = 23,767 : x
  2. Step 2: Convert to fraction form
    15,409/23,767 = 23,767/x
  3. Step 3: Cross multiply
    15,409x = 23,767 × 23,767
  4. Step 4: Simplify right side
    15,409x = 564,870,289
  5. Step 5: Solve for x
    x = 564,870,289/15,409
  6. Step 6: Final answer
    x = 36,658.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.