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Finding the Third Proportional to 22,005 and 47,700

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Solution

The third proportional to 22,005 and 47,700 is: 103,398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,005 : 47,700 = 47,700 : x
  2. Step 2: Convert to fraction form
    22,005/47,700 = 47,700/x
  3. Step 3: Cross multiply
    22,005x = 47,700 × 47,700
  4. Step 4: Simplify right side
    22,005x = 2,275,290,000
  5. Step 5: Solve for x
    x = 2,275,290,000/22,005
  6. Step 6: Final answer
    x = 103,398.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.