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Finding the Third Proportional to 22,705.88 and 31,169.25

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Solution

The third proportional to 22,705.88 and 31,169.25 is: 42,787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,705.88 : 31,169.25 = 31,169.25 : x
  2. Step 2: Convert to fraction form
    22,705.88/31,169.25 = 31,169.25/x
  3. Step 3: Cross multiply
    22,705.88x = 31,169.25 × 31,169.25
  4. Step 4: Simplify right side
    22,705.88x = 971,522,145.56
  5. Step 5: Solve for x
    x = 971,522,145.56/22,705.88
  6. Step 6: Final answer
    x = 42,787.26

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.