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Finding the Third Proportional to 12,347.06 and 29,134.31

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Solution

The third proportional to 12,347.06 and 29,134.31 is: 68,745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.06 : 29,134.31 = 29,134.31 : x
  2. Step 2: Convert to fraction form
    12,347.06/29,134.31 = 29,134.31/x
  3. Step 3: Cross multiply
    12,347.06x = 29,134.31 × 29,134.31
  4. Step 4: Simplify right side
    12,347.06x = 848,808,164.85
  5. Step 5: Solve for x
    x = 848,808,164.85/12,347.06
  6. Step 6: Final answer
    x = 68,745.76

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.