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Finding the Third Proportional to 7,543.13 and 17,035.31

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Solution

The third proportional to 7,543.13 and 17,035.31 is: 38,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.13 : 17,035.31 = 17,035.31 : x
  2. Step 2: Convert to fraction form
    7,543.13/17,035.31 = 17,035.31/x
  3. Step 3: Cross multiply
    7,543.13x = 17,035.31 × 17,035.31
  4. Step 4: Simplify right side
    7,543.13x = 290,201,871.97
  5. Step 5: Solve for x
    x = 290,201,871.97/7,543.13
  6. Step 6: Final answer
    x = 38,472.37

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.