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Finding the Third Proportional to 4,291.09 and 6,560.30

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Solution

The third proportional to 4,291.09 and 6,560.30 is: 10,029.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.09 : 6,560.30 = 6,560.30 : x
  2. Step 2: Convert to fraction form
    4,291.09/6,560.30 = 6,560.30/x
  3. Step 3: Cross multiply
    4,291.09x = 6,560.30 × 6,560.30
  4. Step 4: Simplify right side
    4,291.09x = 43,037,525.72
  5. Step 5: Solve for x
    x = 43,037,525.72/4,291.09
  6. Step 6: Final answer
    x = 10,029.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.