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Finding the Third Proportional to 13,106.81 and 19,667.81

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Solution

The third proportional to 13,106.81 and 19,667.81 is: 29,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.81 : 19,667.81 = 19,667.81 : x
  2. Step 2: Convert to fraction form
    13,106.81/19,667.81 = 19,667.81/x
  3. Step 3: Cross multiply
    13,106.81x = 19,667.81 × 19,667.81
  4. Step 4: Simplify right side
    13,106.81x = 386,822,848.54
  5. Step 5: Solve for x
    x = 386,822,848.54/13,106.81
  6. Step 6: Final answer
    x = 29,513.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.