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Finding the Third Proportional to 7,708 and 15,776

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Solution

The third proportional to 7,708 and 15,776 is: 32,288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708 : 15,776 = 15,776 : x
  2. Step 2: Convert to fraction form
    7,708/15,776 = 15,776/x
  3. Step 3: Cross multiply
    7,708x = 15,776 × 15,776
  4. Step 4: Simplify right side
    7,708x = 248,882,176
  5. Step 5: Solve for x
    x = 248,882,176/7,708
  6. Step 6: Final answer
    x = 32,288.81

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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.