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Finding the Third Proportional to 9,206.16 and 19,617.19

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Solution

The third proportional to 9,206.16 and 19,617.19 is: 41,801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.16 : 19,617.19 = 19,617.19 : x
  2. Step 2: Convert to fraction form
    9,206.16/19,617.19 = 19,617.19/x
  3. Step 3: Cross multiply
    9,206.16x = 19,617.19 × 19,617.19
  4. Step 4: Simplify right side
    9,206.16x = 384,834,045.41
  5. Step 5: Solve for x
    x = 384,834,045.41/9,206.16
  6. Step 6: Final answer
    x = 41,801.82

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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.