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Finding the Third Proportional to 7,906.50 and 18,267.75

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Solution

The third proportional to 7,906.50 and 18,267.75 is: 42,207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.50 : 18,267.75 = 18,267.75 : x
  2. Step 2: Convert to fraction form
    7,906.50/18,267.75 = 18,267.75/x
  3. Step 3: Cross multiply
    7,906.50x = 18,267.75 × 18,267.75
  4. Step 4: Simplify right side
    7,906.50x = 333,710,690.06
  5. Step 5: Solve for x
    x = 333,710,690.06/7,906.50
  6. Step 6: Final answer
    x = 42,207.13

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.