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Finding the Third Proportional to 20,441 and 27,470

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Solution

The third proportional to 20,441 and 27,470 is: 36,916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,441 : 27,470 = 27,470 : x
  2. Step 2: Convert to fraction form
    20,441/27,470 = 27,470/x
  3. Step 3: Cross multiply
    20,441x = 27,470 × 27,470
  4. Step 4: Simplify right side
    20,441x = 754,600,900
  5. Step 5: Solve for x
    x = 754,600,900/20,441
  6. Step 6: Final answer
    x = 36,916.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.