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Finding the Third Proportional to 7,964.89 and 12,290.48

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Solution

The third proportional to 7,964.89 and 12,290.48 is: 18,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.89 : 12,290.48 = 12,290.48 : x
  2. Step 2: Convert to fraction form
    7,964.89/12,290.48 = 12,290.48/x
  3. Step 3: Cross multiply
    7,964.89x = 12,290.48 × 12,290.48
  4. Step 4: Simplify right side
    7,964.89x = 151,056,006.17
  5. Step 5: Solve for x
    x = 151,056,006.17/7,964.89
  6. Step 6: Final answer
    x = 18,965.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.