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Finding the Third Proportional to 12,953 and 20,469

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Solution

The third proportional to 12,953 and 20,469 is: 32,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953 : 20,469 = 20,469 : x
  2. Step 2: Convert to fraction form
    12,953/20,469 = 20,469/x
  3. Step 3: Cross multiply
    12,953x = 20,469 × 20,469
  4. Step 4: Simplify right side
    12,953x = 418,979,961
  5. Step 5: Solve for x
    x = 418,979,961/12,953
  6. Step 6: Final answer
    x = 32,346.17

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.