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Finding the Third Proportional to 16,238.50 and 24,360

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Solution

The third proportional to 16,238.50 and 24,360 is: 36,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.50 : 24,360 = 24,360 : x
  2. Step 2: Convert to fraction form
    16,238.50/24,360 = 24,360/x
  3. Step 3: Cross multiply
    16,238.50x = 24,360 × 24,360
  4. Step 4: Simplify right side
    16,238.50x = 593,409,600
  5. Step 5: Solve for x
    x = 593,409,600/16,238.50
  6. Step 6: Final answer
    x = 36,543.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.