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Finding the Third Proportional to 12,065.63 and 25,871.06

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Solution

The third proportional to 12,065.63 and 25,871.06 is: 55,472.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,065.63 : 25,871.06 = 25,871.06 : x
  2. Step 2: Convert to fraction form
    12,065.63/25,871.06 = 25,871.06/x
  3. Step 3: Cross multiply
    12,065.63x = 25,871.06 × 25,871.06
  4. Step 4: Simplify right side
    12,065.63x = 669,311,874.88
  5. Step 5: Solve for x
    x = 669,311,874.88/12,065.63
  6. Step 6: Final answer
    x = 55,472.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.