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Finding the Third Proportional to 38,788 and 58,969

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Solution

The third proportional to 38,788 and 58,969 is: 89,649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,788 : 58,969 = 58,969 : x
  2. Step 2: Convert to fraction form
    38,788/58,969 = 58,969/x
  3. Step 3: Cross multiply
    38,788x = 58,969 × 58,969
  4. Step 4: Simplify right side
    38,788x = 3,477,342,961
  5. Step 5: Solve for x
    x = 3,477,342,961/38,788
  6. Step 6: Final answer
    x = 89,649.97

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.