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Finding the Third Proportional to 21,090 and 44,782

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Solution

The third proportional to 21,090 and 44,782 is: 95,089.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,090 : 44,782 = 44,782 : x
  2. Step 2: Convert to fraction form
    21,090/44,782 = 44,782/x
  3. Step 3: Cross multiply
    21,090x = 44,782 × 44,782
  4. Step 4: Simplify right side
    21,090x = 2,005,427,524
  5. Step 5: Solve for x
    x = 2,005,427,524/21,090
  6. Step 6: Final answer
    x = 95,089.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.