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Finding the Third Proportional to 9,117.38 and 14,418.56

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Solution

The third proportional to 9,117.38 and 14,418.56 is: 22,802.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.38 : 14,418.56 = 14,418.56 : x
  2. Step 2: Convert to fraction form
    9,117.38/14,418.56 = 14,418.56/x
  3. Step 3: Cross multiply
    9,117.38x = 14,418.56 × 14,418.56
  4. Step 4: Simplify right side
    9,117.38x = 207,894,944.57
  5. Step 5: Solve for x
    x = 207,894,944.57/9,117.38
  6. Step 6: Final answer
    x = 22,802.06

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.