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Finding the Third Proportional to 12,240 and 13,302

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Solution

The third proportional to 12,240 and 13,302 is: 14,456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,240 : 13,302 = 13,302 : x
  2. Step 2: Convert to fraction form
    12,240/13,302 = 13,302/x
  3. Step 3: Cross multiply
    12,240x = 13,302 × 13,302
  4. Step 4: Simplify right side
    12,240x = 176,943,204
  5. Step 5: Solve for x
    x = 176,943,204/12,240
  6. Step 6: Final answer
    x = 14,456.14

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.