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Finding the Third Proportional to 5,996.53 and 8,988.47

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Solution

The third proportional to 5,996.53 and 8,988.47 is: 13,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.53 : 8,988.47 = 8,988.47 : x
  2. Step 2: Convert to fraction form
    5,996.53/8,988.47 = 8,988.47/x
  3. Step 3: Cross multiply
    5,996.53x = 8,988.47 × 8,988.47
  4. Step 4: Simplify right side
    5,996.53x = 80,792,570.47
  5. Step 5: Solve for x
    x = 80,792,570.47/5,996.53
  6. Step 6: Final answer
    x = 13,473.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.