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Finding the Third Proportional to 6,796.41 and 10,288.58

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Solution

The third proportional to 6,796.41 and 10,288.58 is: 15,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.41 : 10,288.58 = 10,288.58 : x
  2. Step 2: Convert to fraction form
    6,796.41/10,288.58 = 10,288.58/x
  3. Step 3: Cross multiply
    6,796.41x = 10,288.58 × 10,288.58
  4. Step 4: Simplify right side
    6,796.41x = 105,854,920.21
  5. Step 5: Solve for x
    x = 105,854,920.21/6,796.41
  6. Step 6: Final answer
    x = 15,575.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.