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Finding the Third Proportional to 22,701 and 48,530

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Solution

The third proportional to 22,701 and 48,530 is: 103,747.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,701 : 48,530 = 48,530 : x
  2. Step 2: Convert to fraction form
    22,701/48,530 = 48,530/x
  3. Step 3: Cross multiply
    22,701x = 48,530 × 48,530
  4. Step 4: Simplify right side
    22,701x = 2,355,160,900
  5. Step 5: Solve for x
    x = 2,355,160,900/22,701
  6. Step 6: Final answer
    x = 103,747.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.