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Finding the Third Proportional to 10,494.28 and 22,680.28

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Solution

The third proportional to 10,494.28 and 22,680.28 is: 49,016.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.28 : 22,680.28 = 22,680.28 : x
  2. Step 2: Convert to fraction form
    10,494.28/22,680.28 = 22,680.28/x
  3. Step 3: Cross multiply
    10,494.28x = 22,680.28 × 22,680.28
  4. Step 4: Simplify right side
    10,494.28x = 514,395,157.58
  5. Step 5: Solve for x
    x = 514,395,157.58/10,494.28
  6. Step 6: Final answer
    x = 49,016.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.