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Finding the Third Proportional to 19,010 and 27,771

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Solution

The third proportional to 19,010 and 27,771 is: 40,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,010 : 27,771 = 27,771 : x
  2. Step 2: Convert to fraction form
    19,010/27,771 = 27,771/x
  3. Step 3: Cross multiply
    19,010x = 27,771 × 27,771
  4. Step 4: Simplify right side
    19,010x = 771,228,441
  5. Step 5: Solve for x
    x = 771,228,441/19,010
  6. Step 6: Final answer
    x = 40,569.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.