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Finding the Third Proportional to 9,799 and 23,113

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Solution

The third proportional to 9,799 and 23,113 is: 54,516.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799 : 23,113 = 23,113 : x
  2. Step 2: Convert to fraction form
    9,799/23,113 = 23,113/x
  3. Step 3: Cross multiply
    9,799x = 23,113 × 23,113
  4. Step 4: Simplify right side
    9,799x = 534,210,769
  5. Step 5: Solve for x
    x = 534,210,769/9,799
  6. Step 6: Final answer
    x = 54,516.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.