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Finding the Third Proportional to 57,978.28 and 76,932.28

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Solution

The third proportional to 57,978.28 and 76,932.28 is: 102,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,978.28 : 76,932.28 = 76,932.28 : x
  2. Step 2: Convert to fraction form
    57,978.28/76,932.28 = 76,932.28/x
  3. Step 3: Cross multiply
    57,978.28x = 76,932.28 × 76,932.28
  4. Step 4: Simplify right side
    57,978.28x = 5,918,575,898.33
  5. Step 5: Solve for x
    x = 5,918,575,898.33/57,978.28
  6. Step 6: Final answer
    x = 102,082.64

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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.