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Finding the Third Proportional to 38,996 and 60,770

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Solution

The third proportional to 38,996 and 60,770 is: 94,701.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,996 : 60,770 = 60,770 : x
  2. Step 2: Convert to fraction form
    38,996/60,770 = 60,770/x
  3. Step 3: Cross multiply
    38,996x = 60,770 × 60,770
  4. Step 4: Simplify right side
    38,996x = 3,692,992,900
  5. Step 5: Solve for x
    x = 3,692,992,900/38,996
  6. Step 6: Final answer
    x = 94,701.84

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.