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Finding the Third Proportional to 27,360 and 59,512.50

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Solution

The third proportional to 27,360 and 59,512.50 is: 129,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,360 : 59,512.50 = 59,512.50 : x
  2. Step 2: Convert to fraction form
    27,360/59,512.50 = 59,512.50/x
  3. Step 3: Cross multiply
    27,360x = 59,512.50 × 59,512.50
  4. Step 4: Simplify right side
    27,360x = 3,541,737,656.25
  5. Step 5: Solve for x
    x = 3,541,737,656.25/27,360
  6. Step 6: Final answer
    x = 129,449.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.