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Finding the Third Proportional to 15,396 and 23,257

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Solution

The third proportional to 15,396 and 23,257 is: 35,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,396 : 23,257 = 23,257 : x
  2. Step 2: Convert to fraction form
    15,396/23,257 = 23,257/x
  3. Step 3: Cross multiply
    15,396x = 23,257 × 23,257
  4. Step 4: Simplify right side
    15,396x = 540,888,049
  5. Step 5: Solve for x
    x = 540,888,049/15,396
  6. Step 6: Final answer
    x = 35,131.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.