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Finding the Third Proportional to 3,283.88 and 7,160.06

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Solution

The third proportional to 3,283.88 and 7,160.06 is: 15,611.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.88 : 7,160.06 = 7,160.06 : x
  2. Step 2: Convert to fraction form
    3,283.88/7,160.06 = 7,160.06/x
  3. Step 3: Cross multiply
    3,283.88x = 7,160.06 × 7,160.06
  4. Step 4: Simplify right side
    3,283.88x = 51,266,495.00
  5. Step 5: Solve for x
    x = 51,266,495.00/3,283.88
  6. Step 6: Final answer
    x = 15,611.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.