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Finding the Third Proportional to 23,588.25 and 36,816.75

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Solution

The third proportional to 23,588.25 and 36,816.75 is: 57,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,588.25 : 36,816.75 = 36,816.75 : x
  2. Step 2: Convert to fraction form
    23,588.25/36,816.75 = 36,816.75/x
  3. Step 3: Cross multiply
    23,588.25x = 36,816.75 × 36,816.75
  4. Step 4: Simplify right side
    23,588.25x = 1,355,473,080.56
  5. Step 5: Solve for x
    x = 1,355,473,080.56/23,588.25
  6. Step 6: Final answer
    x = 57,463.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.