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Finding the Third Proportional to 8,855.16 and 12,381.61

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Solution

The third proportional to 8,855.16 and 12,381.61 is: 17,312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,855.16 : 12,381.61 = 12,381.61 : x
  2. Step 2: Convert to fraction form
    8,855.16/12,381.61 = 12,381.61/x
  3. Step 3: Cross multiply
    8,855.16x = 12,381.61 × 12,381.61
  4. Step 4: Simplify right side
    8,855.16x = 153,304,250.72
  5. Step 5: Solve for x
    x = 153,304,250.72/8,855.16
  6. Step 6: Final answer
    x = 17,312.43

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.