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Finding the Third Proportional to 28,382 and 42,967

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Solution

The third proportional to 28,382 and 42,967 is: 65,046.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,382 : 42,967 = 42,967 : x
  2. Step 2: Convert to fraction form
    28,382/42,967 = 42,967/x
  3. Step 3: Cross multiply
    28,382x = 42,967 × 42,967
  4. Step 4: Simplify right side
    28,382x = 1,846,163,089
  5. Step 5: Solve for x
    x = 1,846,163,089/28,382
  6. Step 6: Final answer
    x = 65,046.97

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