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Finding the Third Proportional to 28,856 and 42,192

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Solution

The third proportional to 28,856 and 42,192 is: 61,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,856 : 42,192 = 42,192 : x
  2. Step 2: Convert to fraction form
    28,856/42,192 = 42,192/x
  3. Step 3: Cross multiply
    28,856x = 42,192 × 42,192
  4. Step 4: Simplify right side
    28,856x = 1,780,164,864
  5. Step 5: Solve for x
    x = 1,780,164,864/28,856
  6. Step 6: Final answer
    x = 61,691.32

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.