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Finding the Third Proportional to 21,747 and 47,814

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Solution

The third proportional to 21,747 and 47,814 is: 105,126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,747 : 47,814 = 47,814 : x
  2. Step 2: Convert to fraction form
    21,747/47,814 = 47,814/x
  3. Step 3: Cross multiply
    21,747x = 47,814 × 47,814
  4. Step 4: Simplify right side
    21,747x = 2,286,178,596
  5. Step 5: Solve for x
    x = 2,286,178,596/21,747
  6. Step 6: Final answer
    x = 105,126.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.