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Finding the Third Proportional to 12,908 and 17,332

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Solution

The third proportional to 12,908 and 17,332 is: 23,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,908 : 17,332 = 17,332 : x
  2. Step 2: Convert to fraction form
    12,908/17,332 = 17,332/x
  3. Step 3: Cross multiply
    12,908x = 17,332 × 17,332
  4. Step 4: Simplify right side
    12,908x = 300,398,224
  5. Step 5: Solve for x
    x = 300,398,224/12,908
  6. Step 6: Final answer
    x = 23,272.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.