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Finding the Third Proportional to 23,861 and 34,969

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Solution

The third proportional to 23,861 and 34,969 is: 51,248.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,861 : 34,969 = 34,969 : x
  2. Step 2: Convert to fraction form
    23,861/34,969 = 34,969/x
  3. Step 3: Cross multiply
    23,861x = 34,969 × 34,969
  4. Step 4: Simplify right side
    23,861x = 1,222,830,961
  5. Step 5: Solve for x
    x = 1,222,830,961/23,861
  6. Step 6: Final answer
    x = 51,248.10

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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.