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Finding the Third Proportional to 9,911.11 and 14,092.10

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Solution

The third proportional to 9,911.11 and 14,092.10 is: 20,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.11 : 14,092.10 = 14,092.10 : x
  2. Step 2: Convert to fraction form
    9,911.11/14,092.10 = 14,092.10/x
  3. Step 3: Cross multiply
    9,911.11x = 14,092.10 × 14,092.10
  4. Step 4: Simplify right side
    9,911.11x = 198,587,326.45
  5. Step 5: Solve for x
    x = 198,587,326.45/9,911.11
  6. Step 6: Final answer
    x = 20,036.84

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.