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Finding the Third Proportional to 15,232.50 and 23,540

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Solution

The third proportional to 15,232.50 and 23,540 is: 36,378.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,232.50 : 23,540 = 23,540 : x
  2. Step 2: Convert to fraction form
    15,232.50/23,540 = 23,540/x
  3. Step 3: Cross multiply
    15,232.50x = 23,540 × 23,540
  4. Step 4: Simplify right side
    15,232.50x = 554,131,600
  5. Step 5: Solve for x
    x = 554,131,600/15,232.50
  6. Step 6: Final answer
    x = 36,378.24

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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.