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Finding the Third Proportional to 22,099 and 32,105

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Solution

The third proportional to 22,099 and 32,105 is: 46,641.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,099 : 32,105 = 32,105 : x
  2. Step 2: Convert to fraction form
    22,099/32,105 = 32,105/x
  3. Step 3: Cross multiply
    22,099x = 32,105 × 32,105
  4. Step 4: Simplify right side
    22,099x = 1,030,731,025
  5. Step 5: Solve for x
    x = 1,030,731,025/22,099
  6. Step 6: Final answer
    x = 46,641.52

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.