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Finding the Third Proportional to 22,167 and 32,424.75

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Solution

The third proportional to 22,167 and 32,424.75 is: 47,429.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,167 : 32,424.75 = 32,424.75 : x
  2. Step 2: Convert to fraction form
    22,167/32,424.75 = 32,424.75/x
  3. Step 3: Cross multiply
    22,167x = 32,424.75 × 32,424.75
  4. Step 4: Simplify right side
    22,167x = 1,051,364,412.56
  5. Step 5: Solve for x
    x = 1,051,364,412.56/22,167
  6. Step 6: Final answer
    x = 47,429.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.