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Finding the Third Proportional to 7,962.05 and 12,646.44

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Solution

The third proportional to 7,962.05 and 12,646.44 is: 20,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,962.05 : 12,646.44 = 12,646.44 : x
  2. Step 2: Convert to fraction form
    7,962.05/12,646.44 = 12,646.44/x
  3. Step 3: Cross multiply
    7,962.05x = 12,646.44 × 12,646.44
  4. Step 4: Simplify right side
    7,962.05x = 159,932,480.24
  5. Step 5: Solve for x
    x = 159,932,480.24/7,962.05
  6. Step 6: Final answer
    x = 20,086.85

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.