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Finding the Third Proportional to 38,992 and 58,764.50

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Solution

The third proportional to 38,992 and 58,764.50 is: 88,563.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,992 : 58,764.50 = 58,764.50 : x
  2. Step 2: Convert to fraction form
    38,992/58,764.50 = 58,764.50/x
  3. Step 3: Cross multiply
    38,992x = 58,764.50 × 58,764.50
  4. Step 4: Simplify right side
    38,992x = 3,453,266,460.25
  5. Step 5: Solve for x
    x = 3,453,266,460.25/38,992
  6. Step 6: Final answer
    x = 88,563.46

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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.