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Finding the Third Proportional to 22,830 and 25,206

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Solution

The third proportional to 22,830 and 25,206 is: 27,829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,830 : 25,206 = 25,206 : x
  2. Step 2: Convert to fraction form
    22,830/25,206 = 25,206/x
  3. Step 3: Cross multiply
    22,830x = 25,206 × 25,206
  4. Step 4: Simplify right side
    22,830x = 635,342,436
  5. Step 5: Solve for x
    x = 635,342,436/22,830
  6. Step 6: Final answer
    x = 27,829.28

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.