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Finding the Third Proportional to 12,472.88 and 26,562.84

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Solution

The third proportional to 12,472.88 and 26,562.84 is: 56,569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.88 : 26,562.84 = 26,562.84 : x
  2. Step 2: Convert to fraction form
    12,472.88/26,562.84 = 26,562.84/x
  3. Step 3: Cross multiply
    12,472.88x = 26,562.84 × 26,562.84
  4. Step 4: Simplify right side
    12,472.88x = 705,584,668.09
  5. Step 5: Solve for x
    x = 705,584,668.09/12,472.88
  6. Step 6: Final answer
    x = 56,569.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.