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Finding the Third Proportional to 27,795 and 65,573

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Solution

The third proportional to 27,795 and 65,573 is: 154,697.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,795 : 65,573 = 65,573 : x
  2. Step 2: Convert to fraction form
    27,795/65,573 = 65,573/x
  3. Step 3: Cross multiply
    27,795x = 65,573 × 65,573
  4. Step 4: Simplify right side
    27,795x = 4,299,818,329
  5. Step 5: Solve for x
    x = 4,299,818,329/27,795
  6. Step 6: Final answer
    x = 154,697.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.