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Finding the Third Proportional to 30,385.97 and 45,998.72

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Solution

The third proportional to 30,385.97 and 45,998.72 is: 69,633.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,385.97 : 45,998.72 = 45,998.72 : x
  2. Step 2: Convert to fraction form
    30,385.97/45,998.72 = 45,998.72/x
  3. Step 3: Cross multiply
    30,385.97x = 45,998.72 × 45,998.72
  4. Step 4: Simplify right side
    30,385.97x = 2,115,882,126.64
  5. Step 5: Solve for x
    x = 2,115,882,126.64/30,385.97
  6. Step 6: Final answer
    x = 69,633.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.