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Finding the Third Proportional to 33,792 and 74,352

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Solution

The third proportional to 33,792 and 74,352 is: 163,595.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,792 : 74,352 = 74,352 : x
  2. Step 2: Convert to fraction form
    33,792/74,352 = 74,352/x
  3. Step 3: Cross multiply
    33,792x = 74,352 × 74,352
  4. Step 4: Simplify right side
    33,792x = 5,528,219,904
  5. Step 5: Solve for x
    x = 5,528,219,904/33,792
  6. Step 6: Final answer
    x = 163,595.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.