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Finding the Third Proportional to 9,865 and 21,471

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Solution

The third proportional to 9,865 and 21,471 is: 46,731.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865 : 21,471 = 21,471 : x
  2. Step 2: Convert to fraction form
    9,865/21,471 = 21,471/x
  3. Step 3: Cross multiply
    9,865x = 21,471 × 21,471
  4. Step 4: Simplify right side
    9,865x = 461,003,841
  5. Step 5: Solve for x
    x = 461,003,841/9,865
  6. Step 6: Final answer
    x = 46,731.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.