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Finding the Third Proportional to 33,458 and 72,748

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Solution

The third proportional to 33,458 and 72,748 is: 158,176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,458 : 72,748 = 72,748 : x
  2. Step 2: Convert to fraction form
    33,458/72,748 = 72,748/x
  3. Step 3: Cross multiply
    33,458x = 72,748 × 72,748
  4. Step 4: Simplify right side
    33,458x = 5,292,271,504
  5. Step 5: Solve for x
    x = 5,292,271,504/33,458
  6. Step 6: Final answer
    x = 158,176.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.