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Finding the Third Proportional to 14,901 and 30,747

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Solution

The third proportional to 14,901 and 30,747 is: 63,443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,901 : 30,747 = 30,747 : x
  2. Step 2: Convert to fraction form
    14,901/30,747 = 30,747/x
  3. Step 3: Cross multiply
    14,901x = 30,747 × 30,747
  4. Step 4: Simplify right side
    14,901x = 945,378,009
  5. Step 5: Solve for x
    x = 945,378,009/14,901
  6. Step 6: Final answer
    x = 63,443.93

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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.