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Finding the Third Proportional to 34,652.25 and 75,521.25

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Solution

The third proportional to 34,652.25 and 75,521.25 is: 164,591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,652.25 : 75,521.25 = 75,521.25 : x
  2. Step 2: Convert to fraction form
    34,652.25/75,521.25 = 75,521.25/x
  3. Step 3: Cross multiply
    34,652.25x = 75,521.25 × 75,521.25
  4. Step 4: Simplify right side
    34,652.25x = 5,703,459,201.56
  5. Step 5: Solve for x
    x = 5,703,459,201.56/34,652.25
  6. Step 6: Final answer
    x = 164,591.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.