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Finding the Third Proportional to 22,963.75 and 32,502.75

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Solution

The third proportional to 22,963.75 and 32,502.75 is: 46,004.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.75 : 32,502.75 = 32,502.75 : x
  2. Step 2: Convert to fraction form
    22,963.75/32,502.75 = 32,502.75/x
  3. Step 3: Cross multiply
    22,963.75x = 32,502.75 × 32,502.75
  4. Step 4: Simplify right side
    22,963.75x = 1,056,428,757.56
  5. Step 5: Solve for x
    x = 1,056,428,757.56/22,963.75
  6. Step 6: Final answer
    x = 46,004.19

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Why These Related Problems?

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