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Finding the Third Proportional to 5,614.31 and 12,224.67

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Solution

The third proportional to 5,614.31 and 12,224.67 is: 26,618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.31 : 12,224.67 = 12,224.67 : x
  2. Step 2: Convert to fraction form
    5,614.31/12,224.67 = 12,224.67/x
  3. Step 3: Cross multiply
    5,614.31x = 12,224.67 × 12,224.67
  4. Step 4: Simplify right side
    5,614.31x = 149,442,602.45
  5. Step 5: Solve for x
    x = 149,442,602.45/5,614.31
  6. Step 6: Final answer
    x = 26,618.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.