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Finding the Third Proportional to 9,397.27 and 20,870.47

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Solution

The third proportional to 9,397.27 and 20,870.47 is: 46,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.27 : 20,870.47 = 20,870.47 : x
  2. Step 2: Convert to fraction form
    9,397.27/20,870.47 = 20,870.47/x
  3. Step 3: Cross multiply
    9,397.27x = 20,870.47 × 20,870.47
  4. Step 4: Simplify right side
    9,397.27x = 435,576,628.90
  5. Step 5: Solve for x
    x = 435,576,628.90/9,397.27
  6. Step 6: Final answer
    x = 46,351.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.