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Finding the Third Proportional to 20,965 and 32,347

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Solution

The third proportional to 20,965 and 32,347 is: 49,908.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,965 : 32,347 = 32,347 : x
  2. Step 2: Convert to fraction form
    20,965/32,347 = 32,347/x
  3. Step 3: Cross multiply
    20,965x = 32,347 × 32,347
  4. Step 4: Simplify right side
    20,965x = 1,046,328,409
  5. Step 5: Solve for x
    x = 1,046,328,409/20,965
  6. Step 6: Final answer
    x = 49,908.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.