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Finding the Third Proportional to 15,673 and 32,642

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Solution

The third proportional to 15,673 and 32,642 is: 67,983.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,673 : 32,642 = 32,642 : x
  2. Step 2: Convert to fraction form
    15,673/32,642 = 32,642/x
  3. Step 3: Cross multiply
    15,673x = 32,642 × 32,642
  4. Step 4: Simplify right side
    15,673x = 1,065,500,164
  5. Step 5: Solve for x
    x = 1,065,500,164/15,673
  6. Step 6: Final answer
    x = 67,983.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.