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Finding the Third Proportional to 4,718 and 10,205

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Solution

The third proportional to 4,718 and 10,205 is: 22,073.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718 : 10,205 = 10,205 : x
  2. Step 2: Convert to fraction form
    4,718/10,205 = 10,205/x
  3. Step 3: Cross multiply
    4,718x = 10,205 × 10,205
  4. Step 4: Simplify right side
    4,718x = 104,142,025
  5. Step 5: Solve for x
    x = 104,142,025/4,718
  6. Step 6: Final answer
    x = 22,073.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.