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Finding the Third Proportional to 16,964.44 and 37,312.31

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Solution

The third proportional to 16,964.44 and 37,312.31 is: 82,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964.44 : 37,312.31 = 37,312.31 : x
  2. Step 2: Convert to fraction form
    16,964.44/37,312.31 = 37,312.31/x
  3. Step 3: Cross multiply
    16,964.44x = 37,312.31 × 37,312.31
  4. Step 4: Simplify right side
    16,964.44x = 1,392,208,664.10
  5. Step 5: Solve for x
    x = 1,392,208,664.10/16,964.44
  6. Step 6: Final answer
    x = 82,066.30

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.