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Finding the Third Proportional to 9,398.53 and 20,016.28

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Solution

The third proportional to 9,398.53 and 20,016.28 is: 42,629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.53 : 20,016.28 = 20,016.28 : x
  2. Step 2: Convert to fraction form
    9,398.53/20,016.28 = 20,016.28/x
  3. Step 3: Cross multiply
    9,398.53x = 20,016.28 × 20,016.28
  4. Step 4: Simplify right side
    9,398.53x = 400,651,515.08
  5. Step 5: Solve for x
    x = 400,651,515.08/9,398.53
  6. Step 6: Final answer
    x = 42,629.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.