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Finding the Third Proportional to 5,135.91 and 7,362.14

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Solution

The third proportional to 5,135.91 and 7,362.14 is: 10,553.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.91 : 7,362.14 = 7,362.14 : x
  2. Step 2: Convert to fraction form
    5,135.91/7,362.14 = 7,362.14/x
  3. Step 3: Cross multiply
    5,135.91x = 7,362.14 × 7,362.14
  4. Step 4: Simplify right side
    5,135.91x = 54,201,114.58
  5. Step 5: Solve for x
    x = 54,201,114.58/5,135.91
  6. Step 6: Final answer
    x = 10,553.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.