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Finding the Third Proportional to 7,204.57 and 14,767.95

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Solution

The third proportional to 7,204.57 and 14,767.95 is: 30,271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.57 : 14,767.95 = 14,767.95 : x
  2. Step 2: Convert to fraction form
    7,204.57/14,767.95 = 14,767.95/x
  3. Step 3: Cross multiply
    7,204.57x = 14,767.95 × 14,767.95
  4. Step 4: Simplify right side
    7,204.57x = 218,092,208.75
  5. Step 5: Solve for x
    x = 218,092,208.75/7,204.57
  6. Step 6: Final answer
    x = 30,271.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.