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Finding the Third Proportional to 3,588.75 and 8,575.13

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Solution

The third proportional to 3,588.75 and 8,575.13 is: 20,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.75 : 8,575.13 = 8,575.13 : x
  2. Step 2: Convert to fraction form
    3,588.75/8,575.13 = 8,575.13/x
  3. Step 3: Cross multiply
    3,588.75x = 8,575.13 × 8,575.13
  4. Step 4: Simplify right side
    3,588.75x = 73,532,768.77
  5. Step 5: Solve for x
    x = 73,532,768.77/3,588.75
  6. Step 6: Final answer
    x = 20,489.80

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.