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Finding the Third Proportional to 3,560.13 and 7,790.41

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Solution

The third proportional to 3,560.13 and 7,790.41 is: 17,047.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,560.13 : 7,790.41 = 7,790.41 : x
  2. Step 2: Convert to fraction form
    3,560.13/7,790.41 = 7,790.41/x
  3. Step 3: Cross multiply
    3,560.13x = 7,790.41 × 7,790.41
  4. Step 4: Simplify right side
    3,560.13x = 60,690,551.27
  5. Step 5: Solve for x
    x = 60,690,551.27/3,560.13
  6. Step 6: Final answer
    x = 17,047.27

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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.