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Finding the Third Proportional to 33,291 and 71,897.63

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Solution

The third proportional to 33,291 and 71,897.63 is: 155,275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,291 : 71,897.63 = 71,897.63 : x
  2. Step 2: Convert to fraction form
    33,291/71,897.63 = 71,897.63/x
  3. Step 3: Cross multiply
    33,291x = 71,897.63 × 71,897.63
  4. Step 4: Simplify right side
    33,291x = 5,169,268,480.64
  5. Step 5: Solve for x
    x = 5,169,268,480.64/33,291
  6. Step 6: Final answer
    x = 155,275.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.