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Finding the Third Proportional to 12,421.48 and 26,380.69

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Solution

The third proportional to 12,421.48 and 26,380.69 is: 56,027.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,421.48 : 26,380.69 = 26,380.69 : x
  2. Step 2: Convert to fraction form
    12,421.48/26,380.69 = 26,380.69/x
  3. Step 3: Cross multiply
    12,421.48x = 26,380.69 × 26,380.69
  4. Step 4: Simplify right side
    12,421.48x = 695,940,672.97
  5. Step 5: Solve for x
    x = 695,940,672.97/12,421.48
  6. Step 6: Final answer
    x = 56,027.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.