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Finding the Third Proportional to 19,526 and 27,819

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Solution

The third proportional to 19,526 and 27,819 is: 39,634.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,526 : 27,819 = 27,819 : x
  2. Step 2: Convert to fraction form
    19,526/27,819 = 27,819/x
  3. Step 3: Cross multiply
    19,526x = 27,819 × 27,819
  4. Step 4: Simplify right side
    19,526x = 773,896,761
  5. Step 5: Solve for x
    x = 773,896,761/19,526
  6. Step 6: Final answer
    x = 39,634.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.