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Finding the Third Proportional to 3,699.25 and 5,587.25

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Solution

The third proportional to 3,699.25 and 5,587.25 is: 8,438.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.25 : 5,587.25 = 5,587.25 : x
  2. Step 2: Convert to fraction form
    3,699.25/5,587.25 = 5,587.25/x
  3. Step 3: Cross multiply
    3,699.25x = 5,587.25 × 5,587.25
  4. Step 4: Simplify right side
    3,699.25x = 31,217,362.56
  5. Step 5: Solve for x
    x = 31,217,362.56/3,699.25
  6. Step 6: Final answer
    x = 8,438.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.