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Finding the Third Proportional to 21,306 and 32,257

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Solution

The third proportional to 21,306 and 32,257 is: 48,836.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,306 : 32,257 = 32,257 : x
  2. Step 2: Convert to fraction form
    21,306/32,257 = 32,257/x
  3. Step 3: Cross multiply
    21,306x = 32,257 × 32,257
  4. Step 4: Simplify right side
    21,306x = 1,040,514,049
  5. Step 5: Solve for x
    x = 1,040,514,049/21,306
  6. Step 6: Final answer
    x = 48,836.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.