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Finding the Third Proportional to 16,681.94 and 36,706.06

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Solution

The third proportional to 16,681.94 and 36,706.06 is: 80,766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,681.94 : 36,706.06 = 36,706.06 : x
  2. Step 2: Convert to fraction form
    16,681.94/36,706.06 = 36,706.06/x
  3. Step 3: Cross multiply
    16,681.94x = 36,706.06 × 36,706.06
  4. Step 4: Simplify right side
    16,681.94x = 1,347,335,024.25
  5. Step 5: Solve for x
    x = 1,347,335,024.25/16,681.94
  6. Step 6: Final answer
    x = 80,766.10

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.