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Finding the Third Proportional to 9,091.62 and 14,042.74

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Solution

The third proportional to 9,091.62 and 14,042.74 is: 21,690.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.62 : 14,042.74 = 14,042.74 : x
  2. Step 2: Convert to fraction form
    9,091.62/14,042.74 = 14,042.74/x
  3. Step 3: Cross multiply
    9,091.62x = 14,042.74 × 14,042.74
  4. Step 4: Simplify right side
    9,091.62x = 197,198,608.14
  5. Step 5: Solve for x
    x = 197,198,608.14/9,091.62
  6. Step 6: Final answer
    x = 21,690.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.