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Finding the Third Proportional to 13,667.53 and 22,318.03

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Solution

The third proportional to 13,667.53 and 22,318.03 is: 36,443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,667.53 : 22,318.03 = 22,318.03 : x
  2. Step 2: Convert to fraction form
    13,667.53/22,318.03 = 22,318.03/x
  3. Step 3: Cross multiply
    13,667.53x = 22,318.03 × 22,318.03
  4. Step 4: Simplify right side
    13,667.53x = 498,094,518.88
  5. Step 5: Solve for x
    x = 498,094,518.88/13,667.53
  6. Step 6: Final answer
    x = 36,443.63

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.