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Finding the Third Proportional to 5,335.08 and 11,661.15

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Solution

The third proportional to 5,335.08 and 11,661.15 is: 25,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.08 : 11,661.15 = 11,661.15 : x
  2. Step 2: Convert to fraction form
    5,335.08/11,661.15 = 11,661.15/x
  3. Step 3: Cross multiply
    5,335.08x = 11,661.15 × 11,661.15
  4. Step 4: Simplify right side
    5,335.08x = 135,982,473.98
  5. Step 5: Solve for x
    x = 135,982,473.98/5,335.08
  6. Step 6: Final answer
    x = 25,488.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.