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Finding the Third Proportional to 7,641.21 and 16,594.24

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Solution

The third proportional to 7,641.21 and 16,594.24 is: 36,037.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.21 : 16,594.24 = 16,594.24 : x
  2. Step 2: Convert to fraction form
    7,641.21/16,594.24 = 16,594.24/x
  3. Step 3: Cross multiply
    7,641.21x = 16,594.24 × 16,594.24
  4. Step 4: Simplify right side
    7,641.21x = 275,368,873.78
  5. Step 5: Solve for x
    x = 275,368,873.78/7,641.21
  6. Step 6: Final answer
    x = 36,037.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.