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Finding the Third Proportional to 22,936.75 and 32,299.13

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Solution

The third proportional to 22,936.75 and 32,299.13 is: 45,483.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,936.75 : 32,299.13 = 32,299.13 : x
  2. Step 2: Convert to fraction form
    22,936.75/32,299.13 = 32,299.13/x
  3. Step 3: Cross multiply
    22,936.75x = 32,299.13 × 32,299.13
  4. Step 4: Simplify right side
    22,936.75x = 1,043,233,475.77
  5. Step 5: Solve for x
    x = 1,043,233,475.77/22,936.75
  6. Step 6: Final answer
    x = 45,483.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.