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Finding the Third Proportional to 4,709 and 10,195

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Solution

The third proportional to 4,709 and 10,195 is: 22,072.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709 : 10,195 = 10,195 : x
  2. Step 2: Convert to fraction form
    4,709/10,195 = 10,195/x
  3. Step 3: Cross multiply
    4,709x = 10,195 × 10,195
  4. Step 4: Simplify right side
    4,709x = 103,938,025
  5. Step 5: Solve for x
    x = 103,938,025/4,709
  6. Step 6: Final answer
    x = 22,072.21

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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.