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Finding the Third Proportional to 12,835.13 and 29,764.13

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Solution

The third proportional to 12,835.13 and 29,764.13 is: 69,021.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.13 : 29,764.13 = 29,764.13 : x
  2. Step 2: Convert to fraction form
    12,835.13/29,764.13 = 29,764.13/x
  3. Step 3: Cross multiply
    12,835.13x = 29,764.13 × 29,764.13
  4. Step 4: Simplify right side
    12,835.13x = 885,903,137.02
  5. Step 5: Solve for x
    x = 885,903,137.02/12,835.13
  6. Step 6: Final answer
    x = 69,021.78

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.