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Finding the Third Proportional to 6,308.25 and 9,753.38

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Solution

The third proportional to 6,308.25 and 9,753.38 is: 15,079.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.25 : 9,753.38 = 9,753.38 : x
  2. Step 2: Convert to fraction form
    6,308.25/9,753.38 = 9,753.38/x
  3. Step 3: Cross multiply
    6,308.25x = 9,753.38 × 9,753.38
  4. Step 4: Simplify right side
    6,308.25x = 95,128,323.89
  5. Step 5: Solve for x
    x = 95,128,323.89/6,308.25
  6. Step 6: Final answer
    x = 15,079.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.