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Finding the Third Proportional to 5,746 and 12,412

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Solution

The third proportional to 5,746 and 12,412 is: 26,811.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746 : 12,412 = 12,412 : x
  2. Step 2: Convert to fraction form
    5,746/12,412 = 12,412/x
  3. Step 3: Cross multiply
    5,746x = 12,412 × 12,412
  4. Step 4: Simplify right side
    5,746x = 154,057,744
  5. Step 5: Solve for x
    x = 154,057,744/5,746
  6. Step 6: Final answer
    x = 26,811.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.