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Finding the Third Proportional to 15,782.25 and 36,540

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Solution

The third proportional to 15,782.25 and 36,540 is: 84,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.25 : 36,540 = 36,540 : x
  2. Step 2: Convert to fraction form
    15,782.25/36,540 = 36,540/x
  3. Step 3: Cross multiply
    15,782.25x = 36,540 × 36,540
  4. Step 4: Simplify right side
    15,782.25x = 1,335,171,600
  5. Step 5: Solve for x
    x = 1,335,171,600/15,782.25
  6. Step 6: Final answer
    x = 84,599.57

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.