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Finding the Third Proportional to 21,625 and 46,705

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Solution

The third proportional to 21,625 and 46,705 is: 100,872.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,625 : 46,705 = 46,705 : x
  2. Step 2: Convert to fraction form
    21,625/46,705 = 46,705/x
  3. Step 3: Cross multiply
    21,625x = 46,705 × 46,705
  4. Step 4: Simplify right side
    21,625x = 2,181,357,025
  5. Step 5: Solve for x
    x = 2,181,357,025/21,625
  6. Step 6: Final answer
    x = 100,872.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.