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Finding the Third Proportional to 3,655.13 and 5,334.61

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Solution

The third proportional to 3,655.13 and 5,334.61 is: 7,785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.13 : 5,334.61 = 5,334.61 : x
  2. Step 2: Convert to fraction form
    3,655.13/5,334.61 = 5,334.61/x
  3. Step 3: Cross multiply
    3,655.13x = 5,334.61 × 5,334.61
  4. Step 4: Simplify right side
    3,655.13x = 28,458,057.18
  5. Step 5: Solve for x
    x = 28,458,057.18/3,655.13
  6. Step 6: Final answer
    x = 7,785.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.