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Finding the Third Proportional to 8,033.81 and 12,356.16

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Solution

The third proportional to 8,033.81 and 12,356.16 is: 19,004.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.81 : 12,356.16 = 12,356.16 : x
  2. Step 2: Convert to fraction form
    8,033.81/12,356.16 = 12,356.16/x
  3. Step 3: Cross multiply
    8,033.81x = 12,356.16 × 12,356.16
  4. Step 4: Simplify right side
    8,033.81x = 152,674,597.27
  5. Step 5: Solve for x
    x = 152,674,597.27/8,033.81
  6. Step 6: Final answer
    x = 19,004.00

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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.