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Finding the Third Proportional to 8,935.31 and 20,774.60

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Solution

The third proportional to 8,935.31 and 20,774.60 is: 48,300.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,935.31 : 20,774.60 = 20,774.60 : x
  2. Step 2: Convert to fraction form
    8,935.31/20,774.60 = 20,774.60/x
  3. Step 3: Cross multiply
    8,935.31x = 20,774.60 × 20,774.60
  4. Step 4: Simplify right side
    8,935.31x = 431,584,070.08
  5. Step 5: Solve for x
    x = 431,584,070.08/8,935.31
  6. Step 6: Final answer
    x = 48,300.95

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.