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Finding the Third Proportional to 12,411.56 and 29,274.19

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Solution

The third proportional to 12,411.56 and 29,274.19 is: 69,046.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.56 : 29,274.19 = 29,274.19 : x
  2. Step 2: Convert to fraction form
    12,411.56/29,274.19 = 29,274.19/x
  3. Step 3: Cross multiply
    12,411.56x = 29,274.19 × 29,274.19
  4. Step 4: Simplify right side
    12,411.56x = 856,978,053.79
  5. Step 5: Solve for x
    x = 856,978,053.79/12,411.56
  6. Step 6: Final answer
    x = 69,046.75

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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.