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Finding the Third Proportional to 4,143 and 9,042

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Solution

The third proportional to 4,143 and 9,042 is: 19,733.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143 : 9,042 = 9,042 : x
  2. Step 2: Convert to fraction form
    4,143/9,042 = 9,042/x
  3. Step 3: Cross multiply
    4,143x = 9,042 × 9,042
  4. Step 4: Simplify right side
    4,143x = 81,757,764
  5. Step 5: Solve for x
    x = 81,757,764/4,143
  6. Step 6: Final answer
    x = 19,733.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.