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Finding the Third Proportional to 22,806 and 51,470

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Solution

The third proportional to 22,806 and 51,470 is: 116,160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,806 : 51,470 = 51,470 : x
  2. Step 2: Convert to fraction form
    22,806/51,470 = 51,470/x
  3. Step 3: Cross multiply
    22,806x = 51,470 × 51,470
  4. Step 4: Simplify right side
    22,806x = 2,649,160,900
  5. Step 5: Solve for x
    x = 2,649,160,900/22,806
  6. Step 6: Final answer
    x = 116,160.70

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.