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Finding the Third Proportional to 23,530 and 36,514

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Solution

The third proportional to 23,530 and 36,514 is: 56,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530 : 36,514 = 36,514 : x
  2. Step 2: Convert to fraction form
    23,530/36,514 = 36,514/x
  3. Step 3: Cross multiply
    23,530x = 36,514 × 36,514
  4. Step 4: Simplify right side
    23,530x = 1,333,272,196
  5. Step 5: Solve for x
    x = 1,333,272,196/23,530
  6. Step 6: Final answer
    x = 56,662.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.