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Finding the Third Proportional to 17,984.81 and 42,006.66

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Solution

The third proportional to 17,984.81 and 42,006.66 is: 98,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,984.81 : 42,006.66 = 42,006.66 : x
  2. Step 2: Convert to fraction form
    17,984.81/42,006.66 = 42,006.66/x
  3. Step 3: Cross multiply
    17,984.81x = 42,006.66 × 42,006.66
  4. Step 4: Simplify right side
    17,984.81x = 1,764,559,169.31
  5. Step 5: Solve for x
    x = 1,764,559,169.31/17,984.81
  6. Step 6: Final answer
    x = 98,113.85

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.