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Finding the Third Proportional to 12,408.75 and 18,248.63

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Solution

The third proportional to 12,408.75 and 18,248.63 is: 26,836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.75 : 18,248.63 = 18,248.63 : x
  2. Step 2: Convert to fraction form
    12,408.75/18,248.63 = 18,248.63/x
  3. Step 3: Cross multiply
    12,408.75x = 18,248.63 × 18,248.63
  4. Step 4: Simplify right side
    12,408.75x = 333,012,314.39
  5. Step 5: Solve for x
    x = 333,012,314.39/12,408.75
  6. Step 6: Final answer
    x = 26,836.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.