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Finding the Third Proportional to 7,265.25 and 15,394.92

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Solution

The third proportional to 7,265.25 and 15,394.92 is: 32,621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.25 : 15,394.92 = 15,394.92 : x
  2. Step 2: Convert to fraction form
    7,265.25/15,394.92 = 15,394.92/x
  3. Step 3: Cross multiply
    7,265.25x = 15,394.92 × 15,394.92
  4. Step 4: Simplify right side
    7,265.25x = 237,003,619.54
  5. Step 5: Solve for x
    x = 237,003,619.54/7,265.25
  6. Step 6: Final answer
    x = 32,621.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.