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Finding the Third Proportional to 5,655.38 and 8,647.88

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Solution

The third proportional to 5,655.38 and 8,647.88 is: 13,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.38 : 8,647.88 = 8,647.88 : x
  2. Step 2: Convert to fraction form
    5,655.38/8,647.88 = 8,647.88/x
  3. Step 3: Cross multiply
    5,655.38x = 8,647.88 × 8,647.88
  4. Step 4: Simplify right side
    5,655.38x = 74,785,742.02
  5. Step 5: Solve for x
    x = 74,785,742.02/5,655.38
  6. Step 6: Final answer
    x = 13,223.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.