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Finding the Third Proportional to 15,396 and 33,221

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Solution

The third proportional to 15,396 and 33,221 is: 71,683.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,396 : 33,221 = 33,221 : x
  2. Step 2: Convert to fraction form
    15,396/33,221 = 33,221/x
  3. Step 3: Cross multiply
    15,396x = 33,221 × 33,221
  4. Step 4: Simplify right side
    15,396x = 1,103,634,841
  5. Step 5: Solve for x
    x = 1,103,634,841/15,396
  6. Step 6: Final answer
    x = 71,683.22

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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.