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Finding the Third Proportional to 8,499.94 and 13,133.81

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Solution

The third proportional to 8,499.94 and 13,133.81 is: 20,293.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.94 : 13,133.81 = 13,133.81 : x
  2. Step 2: Convert to fraction form
    8,499.94/13,133.81 = 13,133.81/x
  3. Step 3: Cross multiply
    8,499.94x = 13,133.81 × 13,133.81
  4. Step 4: Simplify right side
    8,499.94x = 172,497,030.79
  5. Step 5: Solve for x
    x = 172,497,030.79/8,499.94
  6. Step 6: Final answer
    x = 20,293.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.