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Finding the Third Proportional to 20,230 and 31,037

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Solution

The third proportional to 20,230 and 31,037 is: 47,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,230 : 31,037 = 31,037 : x
  2. Step 2: Convert to fraction form
    20,230/31,037 = 31,037/x
  3. Step 3: Cross multiply
    20,230x = 31,037 × 31,037
  4. Step 4: Simplify right side
    20,230x = 963,295,369
  5. Step 5: Solve for x
    x = 963,295,369/20,230
  6. Step 6: Final answer
    x = 47,617.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.