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Finding the Third Proportional to 12,246.19 and 20,434.78

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Solution

The third proportional to 12,246.19 and 20,434.78 is: 34,098.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,246.19 : 20,434.78 = 20,434.78 : x
  2. Step 2: Convert to fraction form
    12,246.19/20,434.78 = 20,434.78/x
  3. Step 3: Cross multiply
    12,246.19x = 20,434.78 × 20,434.78
  4. Step 4: Simplify right side
    12,246.19x = 417,580,284.74
  5. Step 5: Solve for x
    x = 417,580,284.74/12,246.19
  6. Step 6: Final answer
    x = 34,098.80

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.