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Finding the Third Proportional to 12,564 and 27,864

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Solution

The third proportional to 12,564 and 27,864 is: 61,795.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564 : 27,864 = 27,864 : x
  2. Step 2: Convert to fraction form
    12,564/27,864 = 27,864/x
  3. Step 3: Cross multiply
    12,564x = 27,864 × 27,864
  4. Step 4: Simplify right side
    12,564x = 776,402,496
  5. Step 5: Solve for x
    x = 776,402,496/12,564
  6. Step 6: Final answer
    x = 61,795.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.