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Finding the Third Proportional to 9,876.94 and 20,968.88

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Solution

The third proportional to 9,876.94 and 20,968.88 is: 44,517.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.94 : 20,968.88 = 20,968.88 : x
  2. Step 2: Convert to fraction form
    9,876.94/20,968.88 = 20,968.88/x
  3. Step 3: Cross multiply
    9,876.94x = 20,968.88 × 20,968.88
  4. Step 4: Simplify right side
    9,876.94x = 439,693,718.77
  5. Step 5: Solve for x
    x = 439,693,718.77/9,876.94
  6. Step 6: Final answer
    x = 44,517.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.