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Finding the Third Proportional to 12,134.06 and 24,856.13

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Solution

The third proportional to 12,134.06 and 24,856.13 is: 50,916.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.06 : 24,856.13 = 24,856.13 : x
  2. Step 2: Convert to fraction form
    12,134.06/24,856.13 = 24,856.13/x
  3. Step 3: Cross multiply
    12,134.06x = 24,856.13 × 24,856.13
  4. Step 4: Simplify right side
    12,134.06x = 617,826,950.02
  5. Step 5: Solve for x
    x = 617,826,950.02/12,134.06
  6. Step 6: Final answer
    x = 50,916.74

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.