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Finding the Third Proportional to 6,118.88 and 9,196.88

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Solution

The third proportional to 6,118.88 and 9,196.88 is: 13,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,118.88 : 9,196.88 = 9,196.88 : x
  2. Step 2: Convert to fraction form
    6,118.88/9,196.88 = 9,196.88/x
  3. Step 3: Cross multiply
    6,118.88x = 9,196.88 × 9,196.88
  4. Step 4: Simplify right side
    6,118.88x = 84,582,509.77
  5. Step 5: Solve for x
    x = 84,582,509.77/6,118.88
  6. Step 6: Final answer
    x = 13,823.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.