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Finding the Third Proportional to 27,564 and 59,503

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Solution

The third proportional to 27,564 and 59,503 is: 128,450.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564 : 59,503 = 59,503 : x
  2. Step 2: Convert to fraction form
    27,564/59,503 = 59,503/x
  3. Step 3: Cross multiply
    27,564x = 59,503 × 59,503
  4. Step 4: Simplify right side
    27,564x = 3,540,607,009
  5. Step 5: Solve for x
    x = 3,540,607,009/27,564
  6. Step 6: Final answer
    x = 128,450.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.