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Finding the Third Proportional to 6,306.75 and 9,001.97

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Solution

The third proportional to 6,306.75 and 9,001.97 is: 12,849.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.75 : 9,001.97 = 9,001.97 : x
  2. Step 2: Convert to fraction form
    6,306.75/9,001.97 = 9,001.97/x
  3. Step 3: Cross multiply
    6,306.75x = 9,001.97 × 9,001.97
  4. Step 4: Simplify right side
    6,306.75x = 81,035,441.38
  5. Step 5: Solve for x
    x = 81,035,441.38/6,306.75
  6. Step 6: Final answer
    x = 12,849.00

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.