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Finding the Third Proportional to 12,107.81 and 26,127.56

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Solution

The third proportional to 12,107.81 and 26,127.56 is: 56,380.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.81 : 26,127.56 = 26,127.56 : x
  2. Step 2: Convert to fraction form
    12,107.81/26,127.56 = 26,127.56/x
  3. Step 3: Cross multiply
    12,107.81x = 26,127.56 × 26,127.56
  4. Step 4: Simplify right side
    12,107.81x = 682,649,522.19
  5. Step 5: Solve for x
    x = 682,649,522.19/12,107.81
  6. Step 6: Final answer
    x = 56,380.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.