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Finding the Third Proportional to 22,066 and 52,037

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Solution

The third proportional to 22,066 and 52,037 is: 122,715.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,066 : 52,037 = 52,037 : x
  2. Step 2: Convert to fraction form
    22,066/52,037 = 52,037/x
  3. Step 3: Cross multiply
    22,066x = 52,037 × 52,037
  4. Step 4: Simplify right side
    22,066x = 2,707,849,369
  5. Step 5: Solve for x
    x = 2,707,849,369/22,066
  6. Step 6: Final answer
    x = 122,715.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.