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Finding the Third Proportional to 15,406.45 and 33,117.61

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Solution

The third proportional to 15,406.45 and 33,117.61 is: 71,189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,406.45 : 33,117.61 = 33,117.61 : x
  2. Step 2: Convert to fraction form
    15,406.45/33,117.61 = 33,117.61/x
  3. Step 3: Cross multiply
    15,406.45x = 33,117.61 × 33,117.61
  4. Step 4: Simplify right side
    15,406.45x = 1,096,776,050.72
  5. Step 5: Solve for x
    x = 1,096,776,050.72/15,406.45
  6. Step 6: Final answer
    x = 71,189.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.