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Finding the Third Proportional to 12,339.84 and 14,040.84

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Solution

The third proportional to 12,339.84 and 14,040.84 is: 15,976.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,339.84 : 14,040.84 = 14,040.84 : x
  2. Step 2: Convert to fraction form
    12,339.84/14,040.84 = 14,040.84/x
  3. Step 3: Cross multiply
    12,339.84x = 14,040.84 × 14,040.84
  4. Step 4: Simplify right side
    12,339.84x = 197,145,293.21
  5. Step 5: Solve for x
    x = 197,145,293.21/12,339.84
  6. Step 6: Final answer
    x = 15,976.32

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.