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Finding the Third Proportional to 7,686.75 and 16,552.88

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Solution

The third proportional to 7,686.75 and 16,552.88 is: 35,645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.75 : 16,552.88 = 16,552.88 : x
  2. Step 2: Convert to fraction form
    7,686.75/16,552.88 = 16,552.88/x
  3. Step 3: Cross multiply
    7,686.75x = 16,552.88 × 16,552.88
  4. Step 4: Simplify right side
    7,686.75x = 273,997,670.77
  5. Step 5: Solve for x
    x = 273,997,670.77/7,686.75
  6. Step 6: Final answer
    x = 35,645.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.