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Finding the Third Proportional to 7,569.07 and 16,647.40

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Solution

The third proportional to 7,569.07 and 16,647.40 is: 36,614.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.07 : 16,647.40 = 16,647.40 : x
  2. Step 2: Convert to fraction form
    7,569.07/16,647.40 = 16,647.40/x
  3. Step 3: Cross multiply
    7,569.07x = 16,647.40 × 16,647.40
  4. Step 4: Simplify right side
    7,569.07x = 277,135,874.74
  5. Step 5: Solve for x
    x = 277,135,874.74/7,569.07
  6. Step 6: Final answer
    x = 36,614.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.