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Finding the Third Proportional to 22,037 and 39,700

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Solution

The third proportional to 22,037 and 39,700 is: 71,520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,037 : 39,700 = 39,700 : x
  2. Step 2: Convert to fraction form
    22,037/39,700 = 39,700/x
  3. Step 3: Cross multiply
    22,037x = 39,700 × 39,700
  4. Step 4: Simplify right side
    22,037x = 1,576,090,000
  5. Step 5: Solve for x
    x = 1,576,090,000/22,037
  6. Step 6: Final answer
    x = 71,520.17

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.