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Finding the Third Proportional to 20,099 and 43,658

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Solution

The third proportional to 20,099 and 43,658 is: 94,831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099 : 43,658 = 43,658 : x
  2. Step 2: Convert to fraction form
    20,099/43,658 = 43,658/x
  3. Step 3: Cross multiply
    20,099x = 43,658 × 43,658
  4. Step 4: Simplify right side
    20,099x = 1,906,020,964
  5. Step 5: Solve for x
    x = 1,906,020,964/20,099
  6. Step 6: Final answer
    x = 94,831.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.