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Finding the Third Proportional to 21,863 and 46,765

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Solution

The third proportional to 21,863 and 46,765 is: 100,030.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,863 : 46,765 = 46,765 : x
  2. Step 2: Convert to fraction form
    21,863/46,765 = 46,765/x
  3. Step 3: Cross multiply
    21,863x = 46,765 × 46,765
  4. Step 4: Simplify right side
    21,863x = 2,186,965,225
  5. Step 5: Solve for x
    x = 2,186,965,225/21,863
  6. Step 6: Final answer
    x = 100,030.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.