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Finding the Third Proportional to 15,412.78 and 33,680.81

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Solution

The third proportional to 15,412.78 and 33,680.81 is: 73,601.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,412.78 : 33,680.81 = 33,680.81 : x
  2. Step 2: Convert to fraction form
    15,412.78/33,680.81 = 33,680.81/x
  3. Step 3: Cross multiply
    15,412.78x = 33,680.81 × 33,680.81
  4. Step 4: Simplify right side
    15,412.78x = 1,134,397,130.66
  5. Step 5: Solve for x
    x = 1,134,397,130.66/15,412.78
  6. Step 6: Final answer
    x = 73,601.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.