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Finding the Third Proportional to 8,232 and 13,257

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Solution

The third proportional to 8,232 and 13,257 is: 21,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232 : 13,257 = 13,257 : x
  2. Step 2: Convert to fraction form
    8,232/13,257 = 13,257/x
  3. Step 3: Cross multiply
    8,232x = 13,257 × 13,257
  4. Step 4: Simplify right side
    8,232x = 175,748,049
  5. Step 5: Solve for x
    x = 175,748,049/8,232
  6. Step 6: Final answer
    x = 21,349.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.