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Finding the Third Proportional to 27,960 and 60,841.50

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Solution

The third proportional to 27,960 and 60,841.50 is: 132,392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,960 : 60,841.50 = 60,841.50 : x
  2. Step 2: Convert to fraction form
    27,960/60,841.50 = 60,841.50/x
  3. Step 3: Cross multiply
    27,960x = 60,841.50 × 60,841.50
  4. Step 4: Simplify right side
    27,960x = 3,701,688,122.25
  5. Step 5: Solve for x
    x = 3,701,688,122.25/27,960
  6. Step 6: Final answer
    x = 132,392.28

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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.