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Finding the Third Proportional to 28,879 and 42,319

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Solution

The third proportional to 28,879 and 42,319 is: 62,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,879 : 42,319 = 42,319 : x
  2. Step 2: Convert to fraction form
    28,879/42,319 = 42,319/x
  3. Step 3: Cross multiply
    28,879x = 42,319 × 42,319
  4. Step 4: Simplify right side
    28,879x = 1,790,897,761
  5. Step 5: Solve for x
    x = 1,790,897,761/28,879
  6. Step 6: Final answer
    x = 62,013.84

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