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Finding the Third Proportional to 21,705 and 44,562

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Solution

The third proportional to 21,705 and 44,562 is: 91,489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705 : 44,562 = 44,562 : x
  2. Step 2: Convert to fraction form
    21,705/44,562 = 44,562/x
  3. Step 3: Cross multiply
    21,705x = 44,562 × 44,562
  4. Step 4: Simplify right side
    21,705x = 1,985,771,844
  5. Step 5: Solve for x
    x = 1,985,771,844/21,705
  6. Step 6: Final answer
    x = 91,489.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.