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Finding the Third Proportional to 19,099 and 28,063

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Solution

The third proportional to 19,099 and 28,063 is: 41,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,099 : 28,063 = 28,063 : x
  2. Step 2: Convert to fraction form
    19,099/28,063 = 28,063/x
  3. Step 3: Cross multiply
    19,099x = 28,063 × 28,063
  4. Step 4: Simplify right side
    19,099x = 787,531,969
  5. Step 5: Solve for x
    x = 787,531,969/19,099
  6. Step 6: Final answer
    x = 41,234.20

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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.