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Finding the Third Proportional to 23,110 and 34,829

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Solution

The third proportional to 23,110 and 34,829 is: 52,490.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,110 : 34,829 = 34,829 : x
  2. Step 2: Convert to fraction form
    23,110/34,829 = 34,829/x
  3. Step 3: Cross multiply
    23,110x = 34,829 × 34,829
  4. Step 4: Simplify right side
    23,110x = 1,213,059,241
  5. Step 5: Solve for x
    x = 1,213,059,241/23,110
  6. Step 6: Final answer
    x = 52,490.66

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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.