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Finding the Third Proportional to 5,790 and 11,292

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Solution

The third proportional to 5,790 and 11,292 is: 22,022.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790 : 11,292 = 11,292 : x
  2. Step 2: Convert to fraction form
    5,790/11,292 = 11,292/x
  3. Step 3: Cross multiply
    5,790x = 11,292 × 11,292
  4. Step 4: Simplify right side
    5,790x = 127,509,264
  5. Step 5: Solve for x
    x = 127,509,264/5,790
  6. Step 6: Final answer
    x = 22,022.33

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.