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Finding the Third Proportional to 4,309.14 and 6,655.92

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Solution

The third proportional to 4,309.14 and 6,655.92 is: 10,280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.14 : 6,655.92 = 6,655.92 : x
  2. Step 2: Convert to fraction form
    4,309.14/6,655.92 = 6,655.92/x
  3. Step 3: Cross multiply
    4,309.14x = 6,655.92 × 6,655.92
  4. Step 4: Simplify right side
    4,309.14x = 44,301,296.01
  5. Step 5: Solve for x
    x = 44,301,296.01/4,309.14
  6. Step 6: Final answer
    x = 10,280.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.