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Finding the Third Proportional to 4,090 and 9,406

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Solution

The third proportional to 4,090 and 9,406 is: 21,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090 : 9,406 = 9,406 : x
  2. Step 2: Convert to fraction form
    4,090/9,406 = 9,406/x
  3. Step 3: Cross multiply
    4,090x = 9,406 × 9,406
  4. Step 4: Simplify right side
    4,090x = 88,472,836
  5. Step 5: Solve for x
    x = 88,472,836/4,090
  6. Step 6: Final answer
    x = 21,631.50

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.