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Finding the Third Proportional to 12,690 and 18,667.13

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Solution

The third proportional to 12,690 and 18,667.13 is: 27,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690 : 18,667.13 = 18,667.13 : x
  2. Step 2: Convert to fraction form
    12,690/18,667.13 = 18,667.13/x
  3. Step 3: Cross multiply
    12,690x = 18,667.13 × 18,667.13
  4. Step 4: Simplify right side
    12,690x = 348,461,555.77
  5. Step 5: Solve for x
    x = 348,461,555.77/12,690
  6. Step 6: Final answer
    x = 27,459.54

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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.