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Finding the Third Proportional to 29,979 and 45,616.50

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Solution

The third proportional to 29,979 and 45,616.50 is: 69,410.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,979 : 45,616.50 = 45,616.50 : x
  2. Step 2: Convert to fraction form
    29,979/45,616.50 = 45,616.50/x
  3. Step 3: Cross multiply
    29,979x = 45,616.50 × 45,616.50
  4. Step 4: Simplify right side
    29,979x = 2,080,865,072.25
  5. Step 5: Solve for x
    x = 2,080,865,072.25/29,979
  6. Step 6: Final answer
    x = 69,410.76

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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.