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Finding the Third Proportional to 16,065.75 and 33,586.13

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Solution

The third proportional to 16,065.75 and 33,586.13 is: 70,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,065.75 : 33,586.13 = 33,586.13 : x
  2. Step 2: Convert to fraction form
    16,065.75/33,586.13 = 33,586.13/x
  3. Step 3: Cross multiply
    16,065.75x = 33,586.13 × 33,586.13
  4. Step 4: Simplify right side
    16,065.75x = 1,128,027,792.52
  5. Step 5: Solve for x
    x = 1,128,027,792.52/16,065.75
  6. Step 6: Final answer
    x = 70,213.20

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.