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Finding the Third Proportional to 9,707 and 21,381

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Solution

The third proportional to 9,707 and 21,381 is: 47,094.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707 : 21,381 = 21,381 : x
  2. Step 2: Convert to fraction form
    9,707/21,381 = 21,381/x
  3. Step 3: Cross multiply
    9,707x = 21,381 × 21,381
  4. Step 4: Simplify right side
    9,707x = 457,147,161
  5. Step 5: Solve for x
    x = 457,147,161/9,707
  6. Step 6: Final answer
    x = 47,094.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.