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Finding the Third Proportional to 23,680 and 36,032

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Solution

The third proportional to 23,680 and 36,032 is: 54,827.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,680 : 36,032 = 36,032 : x
  2. Step 2: Convert to fraction form
    23,680/36,032 = 36,032/x
  3. Step 3: Cross multiply
    23,680x = 36,032 × 36,032
  4. Step 4: Simplify right side
    23,680x = 1,298,305,024
  5. Step 5: Solve for x
    x = 1,298,305,024/23,680
  6. Step 6: Final answer
    x = 54,827.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.