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Finding the Third Proportional to 27,980.44 and 64,977.19

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Solution

The third proportional to 27,980.44 and 64,977.19 is: 150,892.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,980.44 : 64,977.19 = 64,977.19 : x
  2. Step 2: Convert to fraction form
    27,980.44/64,977.19 = 64,977.19/x
  3. Step 3: Cross multiply
    27,980.44x = 64,977.19 × 64,977.19
  4. Step 4: Simplify right side
    27,980.44x = 4,222,034,895.41
  5. Step 5: Solve for x
    x = 4,222,034,895.41/27,980.44
  6. Step 6: Final answer
    x = 150,892.38

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.