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Finding the Third Proportional to 12,453.75 and 13,294.13

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Solution

The third proportional to 12,453.75 and 13,294.13 is: 14,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,453.75 : 13,294.13 = 13,294.13 : x
  2. Step 2: Convert to fraction form
    12,453.75/13,294.13 = 13,294.13/x
  3. Step 3: Cross multiply
    12,453.75x = 13,294.13 × 13,294.13
  4. Step 4: Simplify right side
    12,453.75x = 176,733,759.52
  5. Step 5: Solve for x
    x = 176,733,759.52/12,453.75
  6. Step 6: Final answer
    x = 14,191.21

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.