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Finding the Third Proportional to 12,047.72 and 26,106.66

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Solution

The third proportional to 12,047.72 and 26,106.66 is: 56,571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,047.72 : 26,106.66 = 26,106.66 : x
  2. Step 2: Convert to fraction form
    12,047.72/26,106.66 = 26,106.66/x
  3. Step 3: Cross multiply
    12,047.72x = 26,106.66 × 26,106.66
  4. Step 4: Simplify right side
    12,047.72x = 681,557,500.56
  5. Step 5: Solve for x
    x = 681,557,500.56/12,047.72
  6. Step 6: Final answer
    x = 56,571.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.