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Finding the Third Proportional to 13,257 and 23,409

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Solution

The third proportional to 13,257 and 23,409 is: 41,335.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257 : 23,409 = 23,409 : x
  2. Step 2: Convert to fraction form
    13,257/23,409 = 23,409/x
  3. Step 3: Cross multiply
    13,257x = 23,409 × 23,409
  4. Step 4: Simplify right side
    13,257x = 547,981,281
  5. Step 5: Solve for x
    x = 547,981,281/13,257
  6. Step 6: Final answer
    x = 41,335.24

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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.