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Finding the Third Proportional to 13,223.25 and 15,400.13

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Solution

The third proportional to 13,223.25 and 15,400.13 is: 17,935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.25 : 15,400.13 = 15,400.13 : x
  2. Step 2: Convert to fraction form
    13,223.25/15,400.13 = 15,400.13/x
  3. Step 3: Cross multiply
    13,223.25x = 15,400.13 × 15,400.13
  4. Step 4: Simplify right side
    13,223.25x = 237,163,850.02
  5. Step 5: Solve for x
    x = 237,163,850.02/13,223.25
  6. Step 6: Final answer
    x = 17,935.37

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.