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Finding the Third Proportional to 22,642 and 48,037

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Solution

The third proportional to 22,642 and 48,037 is: 101,914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642 : 48,037 = 48,037 : x
  2. Step 2: Convert to fraction form
    22,642/48,037 = 48,037/x
  3. Step 3: Cross multiply
    22,642x = 48,037 × 48,037
  4. Step 4: Simplify right side
    22,642x = 2,307,553,369
  5. Step 5: Solve for x
    x = 2,307,553,369/22,642
  6. Step 6: Final answer
    x = 101,914.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.