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Finding the Third Proportional to 22,600 and 33,086

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Solution

The third proportional to 22,600 and 33,086 is: 48,437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,600 : 33,086 = 33,086 : x
  2. Step 2: Convert to fraction form
    22,600/33,086 = 33,086/x
  3. Step 3: Cross multiply
    22,600x = 33,086 × 33,086
  4. Step 4: Simplify right side
    22,600x = 1,094,683,396
  5. Step 5: Solve for x
    x = 1,094,683,396/22,600
  6. Step 6: Final answer
    x = 48,437.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.