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Finding the Third Proportional to 27,784.69 and 60,839.44

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Solution

The third proportional to 27,784.69 and 60,839.44 is: 133,218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784.69 : 60,839.44 = 60,839.44 : x
  2. Step 2: Convert to fraction form
    27,784.69/60,839.44 = 60,839.44/x
  3. Step 3: Cross multiply
    27,784.69x = 60,839.44 × 60,839.44
  4. Step 4: Simplify right side
    27,784.69x = 3,701,437,155.32
  5. Step 5: Solve for x
    x = 3,701,437,155.32/27,784.69
  6. Step 6: Final answer
    x = 133,218.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.