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Finding the Third Proportional to 2,785.13 and 3,681.56

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Solution

The third proportional to 2,785.13 and 3,681.56 is: 4,866.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.13 : 3,681.56 = 3,681.56 : x
  2. Step 2: Convert to fraction form
    2,785.13/3,681.56 = 3,681.56/x
  3. Step 3: Cross multiply
    2,785.13x = 3,681.56 × 3,681.56
  4. Step 4: Simplify right side
    2,785.13x = 13,553,902.44
  5. Step 5: Solve for x
    x = 13,553,902.44/2,785.13
  6. Step 6: Final answer
    x = 4,866.53

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.