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Finding the Third Proportional to 13,564 and 27,854

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Solution

The third proportional to 13,564 and 27,854 is: 57,198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564 : 27,854 = 27,854 : x
  2. Step 2: Convert to fraction form
    13,564/27,854 = 27,854/x
  3. Step 3: Cross multiply
    13,564x = 27,854 × 27,854
  4. Step 4: Simplify right side
    13,564x = 775,845,316
  5. Step 5: Solve for x
    x = 775,845,316/13,564
  6. Step 6: Final answer
    x = 57,198.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.