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Finding the Third Proportional to 5,598.49 and 7,936.42

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Solution

The third proportional to 5,598.49 and 7,936.42 is: 11,250.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,598.49 : 7,936.42 = 7,936.42 : x
  2. Step 2: Convert to fraction form
    5,598.49/7,936.42 = 7,936.42/x
  3. Step 3: Cross multiply
    5,598.49x = 7,936.42 × 7,936.42
  4. Step 4: Simplify right side
    5,598.49x = 62,986,730.17
  5. Step 5: Solve for x
    x = 62,986,730.17/5,598.49
  6. Step 6: Final answer
    x = 11,250.66

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.