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Finding the Third Proportional to 9,964 and 21,463

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Solution

The third proportional to 9,964 and 21,463 is: 46,232.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964 : 21,463 = 21,463 : x
  2. Step 2: Convert to fraction form
    9,964/21,463 = 21,463/x
  3. Step 3: Cross multiply
    9,964x = 21,463 × 21,463
  4. Step 4: Simplify right side
    9,964x = 460,660,369
  5. Step 5: Solve for x
    x = 460,660,369/9,964
  6. Step 6: Final answer
    x = 46,232.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.