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Finding the Third Proportional to 4,241.74 and 9,166.29

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Solution

The third proportional to 4,241.74 and 9,166.29 is: 19,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.74 : 9,166.29 = 9,166.29 : x
  2. Step 2: Convert to fraction form
    4,241.74/9,166.29 = 9,166.29/x
  3. Step 3: Cross multiply
    4,241.74x = 9,166.29 × 9,166.29
  4. Step 4: Simplify right side
    4,241.74x = 84,020,855.18
  5. Step 5: Solve for x
    x = 84,020,855.18/4,241.74
  6. Step 6: Final answer
    x = 19,808.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.