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Finding the Third Proportional to 7,092.25 and 9,637.42

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Solution

The third proportional to 7,092.25 and 9,637.42 is: 13,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.25 : 9,637.42 = 9,637.42 : x
  2. Step 2: Convert to fraction form
    7,092.25/9,637.42 = 9,637.42/x
  3. Step 3: Cross multiply
    7,092.25x = 9,637.42 × 9,637.42
  4. Step 4: Simplify right side
    7,092.25x = 92,879,825.10
  5. Step 5: Solve for x
    x = 92,879,825.10/7,092.25
  6. Step 6: Final answer
    x = 13,095.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.