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Finding the Third Proportional to 7,647.75 and 16,601.63

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Solution

The third proportional to 7,647.75 and 16,601.63 is: 36,038.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.75 : 16,601.63 = 16,601.63 : x
  2. Step 2: Convert to fraction form
    7,647.75/16,601.63 = 16,601.63/x
  3. Step 3: Cross multiply
    7,647.75x = 16,601.63 × 16,601.63
  4. Step 4: Simplify right side
    7,647.75x = 275,613,952.64
  5. Step 5: Solve for x
    x = 275,613,952.64/7,647.75
  6. Step 6: Final answer
    x = 36,038.57

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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.