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Finding the Third Proportional to 16,081.34 and 34,649.48

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Solution

The third proportional to 16,081.34 and 34,649.48 is: 74,657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,081.34 : 34,649.48 = 34,649.48 : x
  2. Step 2: Convert to fraction form
    16,081.34/34,649.48 = 34,649.48/x
  3. Step 3: Cross multiply
    16,081.34x = 34,649.48 × 34,649.48
  4. Step 4: Simplify right side
    16,081.34x = 1,200,586,488.29
  5. Step 5: Solve for x
    x = 1,200,586,488.29/16,081.34
  6. Step 6: Final answer
    x = 74,657.13

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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.