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Finding the Third Proportional to 4,203.56 and 5,891.06

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Solution

The third proportional to 4,203.56 and 5,891.06 is: 8,256.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.56 : 5,891.06 = 5,891.06 : x
  2. Step 2: Convert to fraction form
    4,203.56/5,891.06 = 5,891.06/x
  3. Step 3: Cross multiply
    4,203.56x = 5,891.06 × 5,891.06
  4. Step 4: Simplify right side
    4,203.56x = 34,704,617.38
  5. Step 5: Solve for x
    x = 34,704,617.38/4,203.56
  6. Step 6: Final answer
    x = 8,256.00

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.