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Finding the Third Proportional to 9,433.13 and 19,463.63

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Solution

The third proportional to 9,433.13 and 19,463.63 is: 40,159.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.13 : 19,463.63 = 19,463.63 : x
  2. Step 2: Convert to fraction form
    9,433.13/19,463.63 = 19,463.63/x
  3. Step 3: Cross multiply
    9,433.13x = 19,463.63 × 19,463.63
  4. Step 4: Simplify right side
    9,433.13x = 378,832,698.14
  5. Step 5: Solve for x
    x = 378,832,698.14/9,433.13
  6. Step 6: Final answer
    x = 40,159.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.