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Finding the Third Proportional to 12,408.88 and 26,761.63

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Solution

The third proportional to 12,408.88 and 26,761.63 is: 57,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.88 : 26,761.63 = 26,761.63 : x
  2. Step 2: Convert to fraction form
    12,408.88/26,761.63 = 26,761.63/x
  3. Step 3: Cross multiply
    12,408.88x = 26,761.63 × 26,761.63
  4. Step 4: Simplify right side
    12,408.88x = 716,184,572.64
  5. Step 5: Solve for x
    x = 716,184,572.64/12,408.88
  6. Step 6: Final answer
    x = 57,715.51

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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.