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Finding the Third Proportional to 4,142 and 9,014

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Solution

The third proportional to 4,142 and 9,014 is: 19,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142 : 9,014 = 9,014 : x
  2. Step 2: Convert to fraction form
    4,142/9,014 = 9,014/x
  3. Step 3: Cross multiply
    4,142x = 9,014 × 9,014
  4. Step 4: Simplify right side
    4,142x = 81,252,196
  5. Step 5: Solve for x
    x = 81,252,196/4,142
  6. Step 6: Final answer
    x = 19,616.66

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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.