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Finding the Third Proportional to 20,216 and 43,807

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Solution

The third proportional to 20,216 and 43,807 is: 94,927.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,216 : 43,807 = 43,807 : x
  2. Step 2: Convert to fraction form
    20,216/43,807 = 43,807/x
  3. Step 3: Cross multiply
    20,216x = 43,807 × 43,807
  4. Step 4: Simplify right side
    20,216x = 1,919,053,249
  5. Step 5: Solve for x
    x = 1,919,053,249/20,216
  6. Step 6: Final answer
    x = 94,927.45

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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.