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Finding the Third Proportional to 27,867.50 and 60,280

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Solution

The third proportional to 27,867.50 and 60,280 is: 130,391.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,867.50 : 60,280 = 60,280 : x
  2. Step 2: Convert to fraction form
    27,867.50/60,280 = 60,280/x
  3. Step 3: Cross multiply
    27,867.50x = 60,280 × 60,280
  4. Step 4: Simplify right side
    27,867.50x = 3,633,678,400
  5. Step 5: Solve for x
    x = 3,633,678,400/27,867.50
  6. Step 6: Final answer
    x = 130,391.26

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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.