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Finding the Third Proportional to 22,969 and 34,454

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Solution

The third proportional to 22,969 and 34,454 is: 51,681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969 : 34,454 = 34,454 : x
  2. Step 2: Convert to fraction form
    22,969/34,454 = 34,454/x
  3. Step 3: Cross multiply
    22,969x = 34,454 × 34,454
  4. Step 4: Simplify right side
    22,969x = 1,187,078,116
  5. Step 5: Solve for x
    x = 1,187,078,116/22,969
  6. Step 6: Final answer
    x = 51,681.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.