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Finding the Third Proportional to 24,148.50 and 32,244

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Solution

The third proportional to 24,148.50 and 32,244 is: 43,053.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,148.50 : 32,244 = 32,244 : x
  2. Step 2: Convert to fraction form
    24,148.50/32,244 = 32,244/x
  3. Step 3: Cross multiply
    24,148.50x = 32,244 × 32,244
  4. Step 4: Simplify right side
    24,148.50x = 1,039,675,536
  5. Step 5: Solve for x
    x = 1,039,675,536/24,148.50
  6. Step 6: Final answer
    x = 43,053.42

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.