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Finding the Third Proportional to 20,460 and 44,747

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Solution

The third proportional to 20,460 and 44,747 is: 97,863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,460 : 44,747 = 44,747 : x
  2. Step 2: Convert to fraction form
    20,460/44,747 = 44,747/x
  3. Step 3: Cross multiply
    20,460x = 44,747 × 44,747
  4. Step 4: Simplify right side
    20,460x = 2,002,294,009
  5. Step 5: Solve for x
    x = 2,002,294,009/20,460
  6. Step 6: Final answer
    x = 97,863.83

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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.