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Finding the Third Proportional to 33,032 and 71,248

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Solution

The third proportional to 33,032 and 71,248 is: 153,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,032 : 71,248 = 71,248 : x
  2. Step 2: Convert to fraction form
    33,032/71,248 = 71,248/x
  3. Step 3: Cross multiply
    33,032x = 71,248 × 71,248
  4. Step 4: Simplify right side
    33,032x = 5,076,277,504
  5. Step 5: Solve for x
    x = 5,076,277,504/33,032
  6. Step 6: Final answer
    x = 153,677.57

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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.