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Finding the Third Proportional to 28,673 and 42,163

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Solution

The third proportional to 28,673 and 42,163 is: 61,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,673 : 42,163 = 42,163 : x
  2. Step 2: Convert to fraction form
    28,673/42,163 = 42,163/x
  3. Step 3: Cross multiply
    28,673x = 42,163 × 42,163
  4. Step 4: Simplify right side
    28,673x = 1,777,718,569
  5. Step 5: Solve for x
    x = 1,777,718,569/28,673
  6. Step 6: Final answer
    x = 61,999.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.