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Finding the Third Proportional to 22,963.50 and 29,504.25

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Solution

The third proportional to 22,963.50 and 29,504.25 is: 37,908.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.50 : 29,504.25 = 29,504.25 : x
  2. Step 2: Convert to fraction form
    22,963.50/29,504.25 = 29,504.25/x
  3. Step 3: Cross multiply
    22,963.50x = 29,504.25 × 29,504.25
  4. Step 4: Simplify right side
    22,963.50x = 870,500,768.06
  5. Step 5: Solve for x
    x = 870,500,768.06/22,963.50
  6. Step 6: Final answer
    x = 37,908.02

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.