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Finding the Third Proportional to 7,895.81 and 17,543.25

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Solution

The third proportional to 7,895.81 and 17,543.25 is: 38,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.81 : 17,543.25 = 17,543.25 : x
  2. Step 2: Convert to fraction form
    7,895.81/17,543.25 = 17,543.25/x
  3. Step 3: Cross multiply
    7,895.81x = 17,543.25 × 17,543.25
  4. Step 4: Simplify right side
    7,895.81x = 307,765,620.56
  5. Step 5: Solve for x
    x = 307,765,620.56/7,895.81
  6. Step 6: Final answer
    x = 38,978.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.