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Finding the Third Proportional to 19,977 and 43,410

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Solution

The third proportional to 19,977 and 43,410 is: 94,329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,977 : 43,410 = 43,410 : x
  2. Step 2: Convert to fraction form
    19,977/43,410 = 43,410/x
  3. Step 3: Cross multiply
    19,977x = 43,410 × 43,410
  4. Step 4: Simplify right side
    19,977x = 1,884,428,100
  5. Step 5: Solve for x
    x = 1,884,428,100/19,977
  6. Step 6: Final answer
    x = 94,329.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.