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Finding the Third Proportional to 23,122 and 26,470

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Solution

The third proportional to 23,122 and 26,470 is: 30,302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,122 : 26,470 = 26,470 : x
  2. Step 2: Convert to fraction form
    23,122/26,470 = 26,470/x
  3. Step 3: Cross multiply
    23,122x = 26,470 × 26,470
  4. Step 4: Simplify right side
    23,122x = 700,660,900
  5. Step 5: Solve for x
    x = 700,660,900/23,122
  6. Step 6: Final answer
    x = 30,302.78

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.