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Finding the Third Proportional to 14,049 and 30,101.91

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Solution

The third proportional to 14,049 and 30,101.91 is: 64,497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,049 : 30,101.91 = 30,101.91 : x
  2. Step 2: Convert to fraction form
    14,049/30,101.91 = 30,101.91/x
  3. Step 3: Cross multiply
    14,049x = 30,101.91 × 30,101.91
  4. Step 4: Simplify right side
    14,049x = 906,124,759.88
  5. Step 5: Solve for x
    x = 906,124,759.88/14,049
  6. Step 6: Final answer
    x = 64,497.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.