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Finding the Third Proportional to 13,187.81 and 20,346.19

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Solution

The third proportional to 13,187.81 and 20,346.19 is: 31,390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.81 : 20,346.19 = 20,346.19 : x
  2. Step 2: Convert to fraction form
    13,187.81/20,346.19 = 20,346.19/x
  3. Step 3: Cross multiply
    13,187.81x = 20,346.19 × 20,346.19
  4. Step 4: Simplify right side
    13,187.81x = 413,967,345.79
  5. Step 5: Solve for x
    x = 413,967,345.79/13,187.81
  6. Step 6: Final answer
    x = 31,390.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.