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Finding the Third Proportional to 8,030.81 and 16,232.06

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Solution

The third proportional to 8,030.81 and 16,232.06 is: 32,808.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030.81 : 16,232.06 = 16,232.06 : x
  2. Step 2: Convert to fraction form
    8,030.81/16,232.06 = 16,232.06/x
  3. Step 3: Cross multiply
    8,030.81x = 16,232.06 × 16,232.06
  4. Step 4: Simplify right side
    8,030.81x = 263,479,853.00
  5. Step 5: Solve for x
    x = 263,479,853.00/8,030.81
  6. Step 6: Final answer
    x = 32,808.62

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.