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Finding the Third Proportional to 1,803.09 and 3,767.34

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Solution

The third proportional to 1,803.09 and 3,767.34 is: 7,871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.09 : 3,767.34 = 3,767.34 : x
  2. Step 2: Convert to fraction form
    1,803.09/3,767.34 = 3,767.34/x
  3. Step 3: Cross multiply
    1,803.09x = 3,767.34 × 3,767.34
  4. Step 4: Simplify right side
    1,803.09x = 14,192,878.93
  5. Step 5: Solve for x
    x = 14,192,878.93/1,803.09
  6. Step 6: Final answer
    x = 7,871.40

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.