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Finding the Third Proportional to 8,052.33 and 12,041.16

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Solution

The third proportional to 8,052.33 and 12,041.16 is: 18,005.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.33 : 12,041.16 = 12,041.16 : x
  2. Step 2: Convert to fraction form
    8,052.33/12,041.16 = 12,041.16/x
  3. Step 3: Cross multiply
    8,052.33x = 12,041.16 × 12,041.16
  4. Step 4: Simplify right side
    8,052.33x = 144,989,443.84
  5. Step 5: Solve for x
    x = 144,989,443.84/8,052.33
  6. Step 6: Final answer
    x = 18,005.90

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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.