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Finding the Third Proportional to 20,484 and 43,928

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Solution

The third proportional to 20,484 and 43,928 is: 94,203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,484 : 43,928 = 43,928 : x
  2. Step 2: Convert to fraction form
    20,484/43,928 = 43,928/x
  3. Step 3: Cross multiply
    20,484x = 43,928 × 43,928
  4. Step 4: Simplify right side
    20,484x = 1,929,669,184
  5. Step 5: Solve for x
    x = 1,929,669,184/20,484
  6. Step 6: Final answer
    x = 94,203.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.