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Finding the Third Proportional to 3,624.75 and 8,710.03

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Solution

The third proportional to 3,624.75 and 8,710.03 is: 20,929.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.75 : 8,710.03 = 8,710.03 : x
  2. Step 2: Convert to fraction form
    3,624.75/8,710.03 = 8,710.03/x
  3. Step 3: Cross multiply
    3,624.75x = 8,710.03 × 8,710.03
  4. Step 4: Simplify right side
    3,624.75x = 75,864,644.38
  5. Step 5: Solve for x
    x = 75,864,644.38/3,624.75
  6. Step 6: Final answer
    x = 20,929.62

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.