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Finding the Third Proportional to 23,022 and 26,370

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Solution

The third proportional to 23,022 and 26,370 is: 30,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,022 : 26,370 = 26,370 : x
  2. Step 2: Convert to fraction form
    23,022/26,370 = 26,370/x
  3. Step 3: Cross multiply
    23,022x = 26,370 × 26,370
  4. Step 4: Simplify right side
    23,022x = 695,376,900
  5. Step 5: Solve for x
    x = 695,376,900/23,022
  6. Step 6: Final answer
    x = 30,204.89

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.