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Finding the Third Proportional to 19,237 and 39,771

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Solution

The third proportional to 19,237 and 39,771 is: 82,223.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,237 : 39,771 = 39,771 : x
  2. Step 2: Convert to fraction form
    19,237/39,771 = 39,771/x
  3. Step 3: Cross multiply
    19,237x = 39,771 × 39,771
  4. Step 4: Simplify right side
    19,237x = 1,581,732,441
  5. Step 5: Solve for x
    x = 1,581,732,441/19,237
  6. Step 6: Final answer
    x = 82,223.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.