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Finding the Third Proportional to 7,363.45 and 15,894.43

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Solution

The third proportional to 7,363.45 and 15,894.43 is: 34,309.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,363.45 : 15,894.43 = 15,894.43 : x
  2. Step 2: Convert to fraction form
    7,363.45/15,894.43 = 15,894.43/x
  3. Step 3: Cross multiply
    7,363.45x = 15,894.43 × 15,894.43
  4. Step 4: Simplify right side
    7,363.45x = 252,632,926.13
  5. Step 5: Solve for x
    x = 252,632,926.13/7,363.45
  6. Step 6: Final answer
    x = 34,309.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.