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Finding the Third Proportional to 15,488 and 23,267

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Solution

The third proportional to 15,488 and 23,267 is: 34,953.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,488 : 23,267 = 23,267 : x
  2. Step 2: Convert to fraction form
    15,488/23,267 = 23,267/x
  3. Step 3: Cross multiply
    15,488x = 23,267 × 23,267
  4. Step 4: Simplify right side
    15,488x = 541,353,289
  5. Step 5: Solve for x
    x = 541,353,289/15,488
  6. Step 6: Final answer
    x = 34,953.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.