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Finding the Third Proportional to 33,428.44 and 73,417.13

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Solution

The third proportional to 33,428.44 and 73,417.13 is: 161,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,428.44 : 73,417.13 = 73,417.13 : x
  2. Step 2: Convert to fraction form
    33,428.44/73,417.13 = 73,417.13/x
  3. Step 3: Cross multiply
    33,428.44x = 73,417.13 × 73,417.13
  4. Step 4: Simplify right side
    33,428.44x = 5,390,074,243.27
  5. Step 5: Solve for x
    x = 5,390,074,243.27/33,428.44
  6. Step 6: Final answer
    x = 161,242.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.