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Finding the Third Proportional to 3,595.50 and 8,404.88

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Solution

The third proportional to 3,595.50 and 8,404.88 is: 19,647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.50 : 8,404.88 = 8,404.88 : x
  2. Step 2: Convert to fraction form
    3,595.50/8,404.88 = 8,404.88/x
  3. Step 3: Cross multiply
    3,595.50x = 8,404.88 × 8,404.88
  4. Step 4: Simplify right side
    3,595.50x = 70,641,923.77
  5. Step 5: Solve for x
    x = 70,641,923.77/3,595.50
  6. Step 6: Final answer
    x = 19,647.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.