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Finding the Third Proportional to 22,783.78 and 47,382.47

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Solution

The third proportional to 22,783.78 and 47,382.47 is: 98,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783.78 : 47,382.47 = 47,382.47 : x
  2. Step 2: Convert to fraction form
    22,783.78/47,382.47 = 47,382.47/x
  3. Step 3: Cross multiply
    22,783.78x = 47,382.47 × 47,382.47
  4. Step 4: Simplify right side
    22,783.78x = 2,245,098,344.84
  5. Step 5: Solve for x
    x = 2,245,098,344.84/22,783.78
  6. Step 6: Final answer
    x = 98,539.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.