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Finding the Third Proportional to 34,463.25 and 74,576.25

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Solution

The third proportional to 34,463.25 and 74,576.25 is: 161,378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,463.25 : 74,576.25 = 74,576.25 : x
  2. Step 2: Convert to fraction form
    34,463.25/74,576.25 = 74,576.25/x
  3. Step 3: Cross multiply
    34,463.25x = 74,576.25 × 74,576.25
  4. Step 4: Simplify right side
    34,463.25x = 5,561,617,064.06
  5. Step 5: Solve for x
    x = 5,561,617,064.06/34,463.25
  6. Step 6: Final answer
    x = 161,378.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.