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Finding the Third Proportional to 1,782.56 and 3,808.13

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Solution

The third proportional to 1,782.56 and 3,808.13 is: 8,135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.56 : 3,808.13 = 3,808.13 : x
  2. Step 2: Convert to fraction form
    1,782.56/3,808.13 = 3,808.13/x
  3. Step 3: Cross multiply
    1,782.56x = 3,808.13 × 3,808.13
  4. Step 4: Simplify right side
    1,782.56x = 14,501,816.02
  5. Step 5: Solve for x
    x = 14,501,816.02/1,782.56
  6. Step 6: Final answer
    x = 8,135.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.