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Finding the Third Proportional to 13,810 and 21,603.25

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Solution

The third proportional to 13,810 and 21,603.25 is: 33,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810 : 21,603.25 = 21,603.25 : x
  2. Step 2: Convert to fraction form
    13,810/21,603.25 = 21,603.25/x
  3. Step 3: Cross multiply
    13,810x = 21,603.25 × 21,603.25
  4. Step 4: Simplify right side
    13,810x = 466,700,410.56
  5. Step 5: Solve for x
    x = 466,700,410.56/13,810
  6. Step 6: Final answer
    x = 33,794.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.