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Finding the Third Proportional to 9,207.18 and 13,887.66

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Solution

The third proportional to 9,207.18 and 13,887.66 is: 20,947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.18 : 13,887.66 = 13,887.66 : x
  2. Step 2: Convert to fraction form
    9,207.18/13,887.66 = 13,887.66/x
  3. Step 3: Cross multiply
    9,207.18x = 13,887.66 × 13,887.66
  4. Step 4: Simplify right side
    9,207.18x = 192,867,199.55
  5. Step 5: Solve for x
    x = 192,867,199.55/9,207.18
  6. Step 6: Final answer
    x = 20,947.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.