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Finding the Third Proportional to 13,952.25 and 30,362.34

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Solution

The third proportional to 13,952.25 and 30,362.34 is: 66,073.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.25 : 30,362.34 = 30,362.34 : x
  2. Step 2: Convert to fraction form
    13,952.25/30,362.34 = 30,362.34/x
  3. Step 3: Cross multiply
    13,952.25x = 30,362.34 × 30,362.34
  4. Step 4: Simplify right side
    13,952.25x = 921,871,917.99
  5. Step 5: Solve for x
    x = 921,871,917.99/13,952.25
  6. Step 6: Final answer
    x = 66,073.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.