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Finding the Third Proportional to 6,225.61 and 9,339.05

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Solution

The third proportional to 6,225.61 and 9,339.05 is: 14,009.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.61 : 9,339.05 = 9,339.05 : x
  2. Step 2: Convert to fraction form
    6,225.61/9,339.05 = 9,339.05/x
  3. Step 3: Cross multiply
    6,225.61x = 9,339.05 × 9,339.05
  4. Step 4: Simplify right side
    6,225.61x = 87,217,796.53
  5. Step 5: Solve for x
    x = 87,217,796.53/6,225.61
  6. Step 6: Final answer
    x = 14,009.52

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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.