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Finding the Third Proportional to 5,746 and 15,022

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Solution

The third proportional to 5,746 and 15,022 is: 39,272.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746 : 15,022 = 15,022 : x
  2. Step 2: Convert to fraction form
    5,746/15,022 = 15,022/x
  3. Step 3: Cross multiply
    5,746x = 15,022 × 15,022
  4. Step 4: Simplify right side
    5,746x = 225,660,484
  5. Step 5: Solve for x
    x = 225,660,484/5,746
  6. Step 6: Final answer
    x = 39,272.62

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.