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Finding the Third Proportional to 7,729.88 and 16,552.88

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Solution

The third proportional to 7,729.88 and 16,552.88 is: 35,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.88 : 16,552.88 = 16,552.88 : x
  2. Step 2: Convert to fraction form
    7,729.88/16,552.88 = 16,552.88/x
  3. Step 3: Cross multiply
    7,729.88x = 16,552.88 × 16,552.88
  4. Step 4: Simplify right side
    7,729.88x = 273,997,670.77
  5. Step 5: Solve for x
    x = 273,997,670.77/7,729.88
  6. Step 6: Final answer
    x = 35,446.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.