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Finding the Third Proportional to 4,677 and 10,137

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Solution

The third proportional to 4,677 and 10,137 is: 21,971.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677 : 10,137 = 10,137 : x
  2. Step 2: Convert to fraction form
    4,677/10,137 = 10,137/x
  3. Step 3: Cross multiply
    4,677x = 10,137 × 10,137
  4. Step 4: Simplify right side
    4,677x = 102,758,769
  5. Step 5: Solve for x
    x = 102,758,769/4,677
  6. Step 6: Final answer
    x = 21,971.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.