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Finding the Third Proportional to 12,369.98 and 26,491.51

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Solution

The third proportional to 12,369.98 and 26,491.51 is: 56,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,369.98 : 26,491.51 = 26,491.51 : x
  2. Step 2: Convert to fraction form
    12,369.98/26,491.51 = 26,491.51/x
  3. Step 3: Cross multiply
    12,369.98x = 26,491.51 × 26,491.51
  4. Step 4: Simplify right side
    12,369.98x = 701,800,037.92
  5. Step 5: Solve for x
    x = 701,800,037.92/12,369.98
  6. Step 6: Final answer
    x = 56,734.12

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Why These Related Problems?

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