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Finding the Third Proportional to 24,748 and 33,172

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Solution

The third proportional to 24,748 and 33,172 is: 44,463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,748 : 33,172 = 33,172 : x
  2. Step 2: Convert to fraction form
    24,748/33,172 = 33,172/x
  3. Step 3: Cross multiply
    24,748x = 33,172 × 33,172
  4. Step 4: Simplify right side
    24,748x = 1,100,381,584
  5. Step 5: Solve for x
    x = 1,100,381,584/24,748
  6. Step 6: Final answer
    x = 44,463.45

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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.