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Finding the Third Proportional to 5,661.14 and 8,799.26

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Solution

The third proportional to 5,661.14 and 8,799.26 is: 13,676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.14 : 8,799.26 = 8,799.26 : x
  2. Step 2: Convert to fraction form
    5,661.14/8,799.26 = 8,799.26/x
  3. Step 3: Cross multiply
    5,661.14x = 8,799.26 × 8,799.26
  4. Step 4: Simplify right side
    5,661.14x = 77,426,938.05
  5. Step 5: Solve for x
    x = 77,426,938.05/5,661.14
  6. Step 6: Final answer
    x = 13,676.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.