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Finding the Third Proportional to 9,006.66 and 19,346.03

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Solution

The third proportional to 9,006.66 and 19,346.03 is: 41,554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.66 : 19,346.03 = 19,346.03 : x
  2. Step 2: Convert to fraction form
    9,006.66/19,346.03 = 19,346.03/x
  3. Step 3: Cross multiply
    9,006.66x = 19,346.03 × 19,346.03
  4. Step 4: Simplify right side
    9,006.66x = 374,268,773.99
  5. Step 5: Solve for x
    x = 374,268,773.99/9,006.66
  6. Step 6: Final answer
    x = 41,554.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.