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Finding the Third Proportional to 43,216 and 57,438

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Solution

The third proportional to 43,216 and 57,438 is: 76,340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,216 : 57,438 = 57,438 : x
  2. Step 2: Convert to fraction form
    43,216/57,438 = 57,438/x
  3. Step 3: Cross multiply
    43,216x = 57,438 × 57,438
  4. Step 4: Simplify right side
    43,216x = 3,299,123,844
  5. Step 5: Solve for x
    x = 3,299,123,844/43,216
  6. Step 6: Final answer
    x = 76,340.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.