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Finding the Third Proportional to 5,724 and 9,046.97

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Solution

The third proportional to 5,724 and 9,046.97 is: 14,299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724 : 9,046.97 = 9,046.97 : x
  2. Step 2: Convert to fraction form
    5,724/9,046.97 = 9,046.97/x
  3. Step 3: Cross multiply
    5,724x = 9,046.97 × 9,046.97
  4. Step 4: Simplify right side
    5,724x = 81,847,643.56
  5. Step 5: Solve for x
    x = 81,847,643.56/5,724
  6. Step 6: Final answer
    x = 14,299.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.