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Finding the Third Proportional to 30,760.38 and 72,427.29

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Solution

The third proportional to 30,760.38 and 72,427.29 is: 170,534.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,760.38 : 72,427.29 = 72,427.29 : x
  2. Step 2: Convert to fraction form
    30,760.38/72,427.29 = 72,427.29/x
  3. Step 3: Cross multiply
    30,760.38x = 72,427.29 × 72,427.29
  4. Step 4: Simplify right side
    30,760.38x = 5,245,712,200.94
  5. Step 5: Solve for x
    x = 5,245,712,200.94/30,760.38
  6. Step 6: Final answer
    x = 170,534.69

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.