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Finding the Third Proportional to 7,564.22 and 16,404.19

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Solution

The third proportional to 7,564.22 and 16,404.19 is: 35,575.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.22 : 16,404.19 = 16,404.19 : x
  2. Step 2: Convert to fraction form
    7,564.22/16,404.19 = 16,404.19/x
  3. Step 3: Cross multiply
    7,564.22x = 16,404.19 × 16,404.19
  4. Step 4: Simplify right side
    7,564.22x = 269,097,367.54
  5. Step 5: Solve for x
    x = 269,097,367.54/7,564.22
  6. Step 6: Final answer
    x = 35,575.04

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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.