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Finding the Third Proportional to 12,966.75 and 20,314.13

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Solution

The third proportional to 12,966.75 and 20,314.13 is: 31,824.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966.75 : 20,314.13 = 20,314.13 : x
  2. Step 2: Convert to fraction form
    12,966.75/20,314.13 = 20,314.13/x
  3. Step 3: Cross multiply
    12,966.75x = 20,314.13 × 20,314.13
  4. Step 4: Simplify right side
    12,966.75x = 412,663,674.52
  5. Step 5: Solve for x
    x = 412,663,674.52/12,966.75
  6. Step 6: Final answer
    x = 31,824.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.