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Finding the Third Proportional to 20,768 and 44,864

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Solution

The third proportional to 20,768 and 44,864 is: 96,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,768 : 44,864 = 44,864 : x
  2. Step 2: Convert to fraction form
    20,768/44,864 = 44,864/x
  3. Step 3: Cross multiply
    20,768x = 44,864 × 44,864
  4. Step 4: Simplify right side
    20,768x = 2,012,778,496
  5. Step 5: Solve for x
    x = 2,012,778,496/20,768
  6. Step 6: Final answer
    x = 96,917.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.