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Finding the Third Proportional to 6,660.25 and 9,774.38

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Solution

The third proportional to 6,660.25 and 9,774.38 is: 14,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,660.25 : 9,774.38 = 9,774.38 : x
  2. Step 2: Convert to fraction form
    6,660.25/9,774.38 = 9,774.38/x
  3. Step 3: Cross multiply
    6,660.25x = 9,774.38 × 9,774.38
  4. Step 4: Simplify right side
    6,660.25x = 95,538,406.64
  5. Step 5: Solve for x
    x = 95,538,406.64/6,660.25
  6. Step 6: Final answer
    x = 14,344.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.