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Finding the Third Proportional to 27,258 and 36,817

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Solution

The third proportional to 27,258 and 36,817 is: 49,728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,258 : 36,817 = 36,817 : x
  2. Step 2: Convert to fraction form
    27,258/36,817 = 36,817/x
  3. Step 3: Cross multiply
    27,258x = 36,817 × 36,817
  4. Step 4: Simplify right side
    27,258x = 1,355,491,489
  5. Step 5: Solve for x
    x = 1,355,491,489/27,258
  6. Step 6: Final answer
    x = 49,728.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.