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Finding the Third Proportional to 9,147.12 and 20,045.81

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Solution

The third proportional to 9,147.12 and 20,045.81 is: 43,930.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.12 : 20,045.81 = 20,045.81 : x
  2. Step 2: Convert to fraction form
    9,147.12/20,045.81 = 20,045.81/x
  3. Step 3: Cross multiply
    9,147.12x = 20,045.81 × 20,045.81
  4. Step 4: Simplify right side
    9,147.12x = 401,834,466.65
  5. Step 5: Solve for x
    x = 401,834,466.65/9,147.12
  6. Step 6: Final answer
    x = 43,930.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.