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Finding the Third Proportional to 3,506.25 and 5,324.25

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Solution

The third proportional to 3,506.25 and 5,324.25 is: 8,084.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.25 : 5,324.25 = 5,324.25 : x
  2. Step 2: Convert to fraction form
    3,506.25/5,324.25 = 5,324.25/x
  3. Step 3: Cross multiply
    3,506.25x = 5,324.25 × 5,324.25
  4. Step 4: Simplify right side
    3,506.25x = 28,347,638.06
  5. Step 5: Solve for x
    x = 28,347,638.06/3,506.25
  6. Step 6: Final answer
    x = 8,084.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.