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Finding the Third Proportional to 3,681 and 5,699.25

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Solution

The third proportional to 3,681 and 5,699.25 is: 8,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681 : 5,699.25 = 5,699.25 : x
  2. Step 2: Convert to fraction form
    3,681/5,699.25 = 5,699.25/x
  3. Step 3: Cross multiply
    3,681x = 5,699.25 × 5,699.25
  4. Step 4: Simplify right side
    3,681x = 32,481,450.56
  5. Step 5: Solve for x
    x = 32,481,450.56/3,681
  6. Step 6: Final answer
    x = 8,824.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.