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Finding the Third Proportional to 21,175 and 33,496.50

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Solution

The third proportional to 21,175 and 33,496.50 is: 52,987.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175 : 33,496.50 = 33,496.50 : x
  2. Step 2: Convert to fraction form
    21,175/33,496.50 = 33,496.50/x
  3. Step 3: Cross multiply
    21,175x = 33,496.50 × 33,496.50
  4. Step 4: Simplify right side
    21,175x = 1,122,015,512.25
  5. Step 5: Solve for x
    x = 1,122,015,512.25/21,175
  6. Step 6: Final answer
    x = 52,987.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.