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Finding the Third Proportional to 30,769.88 and 72,444.38

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Solution

The third proportional to 30,769.88 and 72,444.38 is: 170,562.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.88 : 72,444.38 = 72,444.38 : x
  2. Step 2: Convert to fraction form
    30,769.88/72,444.38 = 72,444.38/x
  3. Step 3: Cross multiply
    30,769.88x = 72,444.38 × 72,444.38
  4. Step 4: Simplify right side
    30,769.88x = 5,248,187,469.14
  5. Step 5: Solve for x
    x = 5,248,187,469.14/30,769.88
  6. Step 6: Final answer
    x = 170,562.52

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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.