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Finding the Third Proportional to 14,235.75 and 22,626.84

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Solution

The third proportional to 14,235.75 and 22,626.84 is: 35,963.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235.75 : 22,626.84 = 22,626.84 : x
  2. Step 2: Convert to fraction form
    14,235.75/22,626.84 = 22,626.84/x
  3. Step 3: Cross multiply
    14,235.75x = 22,626.84 × 22,626.84
  4. Step 4: Simplify right side
    14,235.75x = 511,974,058.09
  5. Step 5: Solve for x
    x = 511,974,058.09/14,235.75
  6. Step 6: Final answer
    x = 35,963.97

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.