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Finding the Third Proportional to 22,684.50 and 36,032

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Solution

The third proportional to 22,684.50 and 36,032 is: 57,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.50 : 36,032 = 36,032 : x
  2. Step 2: Convert to fraction form
    22,684.50/36,032 = 36,032/x
  3. Step 3: Cross multiply
    22,684.50x = 36,032 × 36,032
  4. Step 4: Simplify right side
    22,684.50x = 1,298,305,024
  5. Step 5: Solve for x
    x = 1,298,305,024/22,684.50
  6. Step 6: Final answer
    x = 57,233.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.