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Finding the Third Proportional to 27,733 and 60,140

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Solution

The third proportional to 27,733 and 60,140 is: 130,415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,733 : 60,140 = 60,140 : x
  2. Step 2: Convert to fraction form
    27,733/60,140 = 60,140/x
  3. Step 3: Cross multiply
    27,733x = 60,140 × 60,140
  4. Step 4: Simplify right side
    27,733x = 3,616,819,600
  5. Step 5: Solve for x
    x = 3,616,819,600/27,733
  6. Step 6: Final answer
    x = 130,415.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.