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Finding the Third Proportional to 27,360 and 59,085

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Solution

The third proportional to 27,360 and 59,085 is: 127,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,360 : 59,085 = 59,085 : x
  2. Step 2: Convert to fraction form
    27,360/59,085 = 59,085/x
  3. Step 3: Cross multiply
    27,360x = 59,085 × 59,085
  4. Step 4: Simplify right side
    27,360x = 3,491,037,225
  5. Step 5: Solve for x
    x = 3,491,037,225/27,360
  6. Step 6: Final answer
    x = 127,596.39

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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.