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Finding the Third Proportional to 7,646 and 15,770

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Solution

The third proportional to 7,646 and 15,770 is: 32,525.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646 : 15,770 = 15,770 : x
  2. Step 2: Convert to fraction form
    7,646/15,770 = 15,770/x
  3. Step 3: Cross multiply
    7,646x = 15,770 × 15,770
  4. Step 4: Simplify right side
    7,646x = 248,692,900
  5. Step 5: Solve for x
    x = 248,692,900/7,646
  6. Step 6: Final answer
    x = 32,525.88

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.