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Finding the Third Proportional to 22,963.25 and 32,502

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Solution

The third proportional to 22,963.25 and 32,502 is: 46,003.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.25 : 32,502 = 32,502 : x
  2. Step 2: Convert to fraction form
    22,963.25/32,502 = 32,502/x
  3. Step 3: Cross multiply
    22,963.25x = 32,502 × 32,502
  4. Step 4: Simplify right side
    22,963.25x = 1,056,380,004
  5. Step 5: Solve for x
    x = 1,056,380,004/22,963.25
  6. Step 6: Final answer
    x = 46,003.07

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.