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Finding the Third Proportional to 24,667.50 and 53,223

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Solution

The third proportional to 24,667.50 and 53,223 is: 114,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,667.50 : 53,223 = 53,223 : x
  2. Step 2: Convert to fraction form
    24,667.50/53,223 = 53,223/x
  3. Step 3: Cross multiply
    24,667.50x = 53,223 × 53,223
  4. Step 4: Simplify right side
    24,667.50x = 2,832,687,729
  5. Step 5: Solve for x
    x = 2,832,687,729/24,667.50
  6. Step 6: Final answer
    x = 114,834.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.