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Finding the Third Proportional to 15,232.50 and 23,874.75

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Solution

The third proportional to 15,232.50 and 23,874.75 is: 37,420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,232.50 : 23,874.75 = 23,874.75 : x
  2. Step 2: Convert to fraction form
    15,232.50/23,874.75 = 23,874.75/x
  3. Step 3: Cross multiply
    15,232.50x = 23,874.75 × 23,874.75
  4. Step 4: Simplify right side
    15,232.50x = 570,003,687.56
  5. Step 5: Solve for x
    x = 570,003,687.56/15,232.50
  6. Step 6: Final answer
    x = 37,420.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.