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Finding the Third Proportional to 20,470 and 44,396

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Solution

The third proportional to 20,470 and 44,396 is: 96,287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,470 : 44,396 = 44,396 : x
  2. Step 2: Convert to fraction form
    20,470/44,396 = 44,396/x
  3. Step 3: Cross multiply
    20,470x = 44,396 × 44,396
  4. Step 4: Simplify right side
    20,470x = 1,971,004,816
  5. Step 5: Solve for x
    x = 1,971,004,816/20,470
  6. Step 6: Final answer
    x = 96,287.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.