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Finding the Third Proportional to 5,643.84 and 12,180.66

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Solution

The third proportional to 5,643.84 and 12,180.66 is: 26,288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.84 : 12,180.66 = 12,180.66 : x
  2. Step 2: Convert to fraction form
    5,643.84/12,180.66 = 12,180.66/x
  3. Step 3: Cross multiply
    5,643.84x = 12,180.66 × 12,180.66
  4. Step 4: Simplify right side
    5,643.84x = 148,368,386.68
  5. Step 5: Solve for x
    x = 148,368,386.68/5,643.84
  6. Step 6: Final answer
    x = 26,288.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.