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Finding the Third Proportional to 7,531.88 and 16,404.75

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Solution

The third proportional to 7,531.88 and 16,404.75 is: 35,730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.88 : 16,404.75 = 16,404.75 : x
  2. Step 2: Convert to fraction form
    7,531.88/16,404.75 = 16,404.75/x
  3. Step 3: Cross multiply
    7,531.88x = 16,404.75 × 16,404.75
  4. Step 4: Simplify right side
    7,531.88x = 269,115,822.56
  5. Step 5: Solve for x
    x = 269,115,822.56/7,531.88
  6. Step 6: Final answer
    x = 35,730.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.