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Finding the Third Proportional to 14,034 and 30,669

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Solution

The third proportional to 14,034 and 30,669 is: 67,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,034 : 30,669 = 30,669 : x
  2. Step 2: Convert to fraction form
    14,034/30,669 = 30,669/x
  3. Step 3: Cross multiply
    14,034x = 30,669 × 30,669
  4. Step 4: Simplify right side
    14,034x = 940,587,561
  5. Step 5: Solve for x
    x = 940,587,561/14,034
  6. Step 6: Final answer
    x = 67,022.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.