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Finding the Third Proportional to 5,685.19 and 12,124.69

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Solution

The third proportional to 5,685.19 and 12,124.69 is: 25,858.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.19 : 12,124.69 = 12,124.69 : x
  2. Step 2: Convert to fraction form
    5,685.19/12,124.69 = 12,124.69/x
  3. Step 3: Cross multiply
    5,685.19x = 12,124.69 × 12,124.69
  4. Step 4: Simplify right side
    5,685.19x = 147,008,046.97
  5. Step 5: Solve for x
    x = 147,008,046.97/5,685.19
  6. Step 6: Final answer
    x = 25,858.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.