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Finding the Third Proportional to 7,705 and 15,775

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Solution

The third proportional to 7,705 and 15,775 is: 32,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705 : 15,775 = 15,775 : x
  2. Step 2: Convert to fraction form
    7,705/15,775 = 15,775/x
  3. Step 3: Cross multiply
    7,705x = 15,775 × 15,775
  4. Step 4: Simplify right side
    7,705x = 248,850,625
  5. Step 5: Solve for x
    x = 248,850,625/7,705
  6. Step 6: Final answer
    x = 32,297.29

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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.