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Finding the Third Proportional to 1,497.16 and 3,496.92

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Solution

The third proportional to 1,497.16 and 3,496.92 is: 8,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.16 : 3,496.92 = 3,496.92 : x
  2. Step 2: Convert to fraction form
    1,497.16/3,496.92 = 3,496.92/x
  3. Step 3: Cross multiply
    1,497.16x = 3,496.92 × 3,496.92
  4. Step 4: Simplify right side
    1,497.16x = 12,228,462.60
  5. Step 5: Solve for x
    x = 12,228,462.60/1,497.16
  6. Step 6: Final answer
    x = 8,167.75

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.