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Finding the Third Proportional to 38,287.69 and 42,418.69

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Solution

The third proportional to 38,287.69 and 42,418.69 is: 46,995.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,287.69 : 42,418.69 = 42,418.69 : x
  2. Step 2: Convert to fraction form
    38,287.69/42,418.69 = 42,418.69/x
  3. Step 3: Cross multiply
    38,287.69x = 42,418.69 × 42,418.69
  4. Step 4: Simplify right side
    38,287.69x = 1,799,345,049.22
  5. Step 5: Solve for x
    x = 1,799,345,049.22/38,287.69
  6. Step 6: Final answer
    x = 46,995.40

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.