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Finding the Third Proportional to 7,543.13 and 13,975.31

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Solution

The third proportional to 7,543.13 and 13,975.31 is: 25,892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.13 : 13,975.31 = 13,975.31 : x
  2. Step 2: Convert to fraction form
    7,543.13/13,975.31 = 13,975.31/x
  3. Step 3: Cross multiply
    7,543.13x = 13,975.31 × 13,975.31
  4. Step 4: Simplify right side
    7,543.13x = 195,309,359.47
  5. Step 5: Solve for x
    x = 195,309,359.47/7,543.13
  6. Step 6: Final answer
    x = 25,892.37

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.