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Finding the Third Proportional to 23,109 and 34,911

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Solution

The third proportional to 23,109 and 34,911 is: 52,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,109 : 34,911 = 34,911 : x
  2. Step 2: Convert to fraction form
    23,109/34,911 = 34,911/x
  3. Step 3: Cross multiply
    23,109x = 34,911 × 34,911
  4. Step 4: Simplify right side
    23,109x = 1,218,777,921
  5. Step 5: Solve for x
    x = 1,218,777,921/23,109
  6. Step 6: Final answer
    x = 52,740.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.