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Finding the Third Proportional to 6,452 and 15,537.50

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Solution

The third proportional to 6,452 and 15,537.50 is: 37,416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452 : 15,537.50 = 15,537.50 : x
  2. Step 2: Convert to fraction form
    6,452/15,537.50 = 15,537.50/x
  3. Step 3: Cross multiply
    6,452x = 15,537.50 × 15,537.50
  4. Step 4: Simplify right side
    6,452x = 241,413,906.25
  5. Step 5: Solve for x
    x = 241,413,906.25/6,452
  6. Step 6: Final answer
    x = 37,416.91

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.