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Finding the Third Proportional to 9,740 and 22,811

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Solution

The third proportional to 9,740 and 22,811 is: 53,423.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740 : 22,811 = 22,811 : x
  2. Step 2: Convert to fraction form
    9,740/22,811 = 22,811/x
  3. Step 3: Cross multiply
    9,740x = 22,811 × 22,811
  4. Step 4: Simplify right side
    9,740x = 520,341,721
  5. Step 5: Solve for x
    x = 520,341,721/9,740
  6. Step 6: Final answer
    x = 53,423.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.