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Finding the Third Proportional to 19,564 and 27,875

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Solution

The third proportional to 19,564 and 27,875 is: 39,716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564 : 27,875 = 27,875 : x
  2. Step 2: Convert to fraction form
    19,564/27,875 = 27,875/x
  3. Step 3: Cross multiply
    19,564x = 27,875 × 27,875
  4. Step 4: Simplify right side
    19,564x = 777,015,625
  5. Step 5: Solve for x
    x = 777,015,625/19,564
  6. Step 6: Final answer
    x = 39,716.60

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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.