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Finding the Third Proportional to 21,514 and 32,261

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Solution

The third proportional to 21,514 and 32,261 is: 48,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,514 : 32,261 = 32,261 : x
  2. Step 2: Convert to fraction form
    21,514/32,261 = 32,261/x
  3. Step 3: Cross multiply
    21,514x = 32,261 × 32,261
  4. Step 4: Simplify right side
    21,514x = 1,040,772,121
  5. Step 5: Solve for x
    x = 1,040,772,121/21,514
  6. Step 6: Final answer
    x = 48,376.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.