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Finding the Third Proportional to 21,156 and 46,463

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Solution

The third proportional to 21,156 and 46,463 is: 102,042.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,156 : 46,463 = 46,463 : x
  2. Step 2: Convert to fraction form
    21,156/46,463 = 46,463/x
  3. Step 3: Cross multiply
    21,156x = 46,463 × 46,463
  4. Step 4: Simplify right side
    21,156x = 2,158,810,369
  5. Step 5: Solve for x
    x = 2,158,810,369/21,156
  6. Step 6: Final answer
    x = 102,042.46

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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.