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Finding the Third Proportional to 9,807.33 and 14,857.17

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Solution

The third proportional to 9,807.33 and 14,857.17 is: 22,507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.33 : 14,857.17 = 14,857.17 : x
  2. Step 2: Convert to fraction form
    9,807.33/14,857.17 = 14,857.17/x
  3. Step 3: Cross multiply
    9,807.33x = 14,857.17 × 14,857.17
  4. Step 4: Simplify right side
    9,807.33x = 220,735,556.12
  5. Step 5: Solve for x
    x = 220,735,556.12/9,807.33
  6. Step 6: Final answer
    x = 22,507.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.