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Finding the Third Proportional to 15,198 and 22,272

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Solution

The third proportional to 15,198 and 22,272 is: 32,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198 : 22,272 = 22,272 : x
  2. Step 2: Convert to fraction form
    15,198/22,272 = 22,272/x
  3. Step 3: Cross multiply
    15,198x = 22,272 × 22,272
  4. Step 4: Simplify right side
    15,198x = 496,041,984
  5. Step 5: Solve for x
    x = 496,041,984/15,198
  6. Step 6: Final answer
    x = 32,638.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.