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Finding the Third Proportional to 28,319 and 42,834

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Solution

The third proportional to 28,319 and 42,834 is: 64,788.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,319 : 42,834 = 42,834 : x
  2. Step 2: Convert to fraction form
    28,319/42,834 = 42,834/x
  3. Step 3: Cross multiply
    28,319x = 42,834 × 42,834
  4. Step 4: Simplify right side
    28,319x = 1,834,751,556
  5. Step 5: Solve for x
    x = 1,834,751,556/28,319
  6. Step 6: Final answer
    x = 64,788.71

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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.