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Finding the Third Proportional to 9,494.63 and 10,405.88

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Solution

The third proportional to 9,494.63 and 10,405.88 is: 11,404.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.63 : 10,405.88 = 10,405.88 : x
  2. Step 2: Convert to fraction form
    9,494.63/10,405.88 = 10,405.88/x
  3. Step 3: Cross multiply
    9,494.63x = 10,405.88 × 10,405.88
  4. Step 4: Simplify right side
    9,494.63x = 108,282,234.52
  5. Step 5: Solve for x
    x = 108,282,234.52/9,494.63
  6. Step 6: Final answer
    x = 11,404.58

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.