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Finding the Third Proportional to 7,269.75 and 16,043.06

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Solution

The third proportional to 7,269.75 and 16,043.06 is: 35,404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,269.75 : 16,043.06 = 16,043.06 : x
  2. Step 2: Convert to fraction form
    7,269.75/16,043.06 = 16,043.06/x
  3. Step 3: Cross multiply
    7,269.75x = 16,043.06 × 16,043.06
  4. Step 4: Simplify right side
    7,269.75x = 257,379,854.38
  5. Step 5: Solve for x
    x = 257,379,854.38/7,269.75
  6. Step 6: Final answer
    x = 35,404.22

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.