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Finding the Third Proportional to 7,750.69 and 18,250.31

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Solution

The third proportional to 7,750.69 and 18,250.31 is: 42,973.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.69 : 18,250.31 = 18,250.31 : x
  2. Step 2: Convert to fraction form
    7,750.69/18,250.31 = 18,250.31/x
  3. Step 3: Cross multiply
    7,750.69x = 18,250.31 × 18,250.31
  4. Step 4: Simplify right side
    7,750.69x = 333,073,906.35
  5. Step 5: Solve for x
    x = 333,073,906.35/7,750.69
  6. Step 6: Final answer
    x = 42,973.47

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.