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Finding the Third Proportional to 7,708 and 16,505

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Solution

The third proportional to 7,708 and 16,505 is: 35,341.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708 : 16,505 = 16,505 : x
  2. Step 2: Convert to fraction form
    7,708/16,505 = 16,505/x
  3. Step 3: Cross multiply
    7,708x = 16,505 × 16,505
  4. Step 4: Simplify right side
    7,708x = 272,415,025
  5. Step 5: Solve for x
    x = 272,415,025/7,708
  6. Step 6: Final answer
    x = 35,341.86

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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.