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Finding the Third Proportional to 21,866 and 46,770

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Solution

The third proportional to 21,866 and 46,770 is: 100,038.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,866 : 46,770 = 46,770 : x
  2. Step 2: Convert to fraction form
    21,866/46,770 = 46,770/x
  3. Step 3: Cross multiply
    21,866x = 46,770 × 46,770
  4. Step 4: Simplify right side
    21,866x = 2,187,432,900
  5. Step 5: Solve for x
    x = 2,187,432,900/21,866
  6. Step 6: Final answer
    x = 100,038.09

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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.