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Finding the Third Proportional to 27,780 and 59,520

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Solution

The third proportional to 27,780 and 59,520 is: 127,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780 : 59,520 = 59,520 : x
  2. Step 2: Convert to fraction form
    27,780/59,520 = 59,520/x
  3. Step 3: Cross multiply
    27,780x = 59,520 × 59,520
  4. Step 4: Simplify right side
    27,780x = 3,542,630,400
  5. Step 5: Solve for x
    x = 3,542,630,400/27,780
  6. Step 6: Final answer
    x = 127,524.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.