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Finding the Third Proportional to 16,099 and 23,113

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Solution

The third proportional to 16,099 and 23,113 is: 33,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099 : 23,113 = 23,113 : x
  2. Step 2: Convert to fraction form
    16,099/23,113 = 23,113/x
  3. Step 3: Cross multiply
    16,099x = 23,113 × 23,113
  4. Step 4: Simplify right side
    16,099x = 534,210,769
  5. Step 5: Solve for x
    x = 534,210,769/16,099
  6. Step 6: Final answer
    x = 33,182.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.