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Finding the Third Proportional to 21,943 and 44,925

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Solution

The third proportional to 21,943 and 44,925 is: 91,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,943 : 44,925 = 44,925 : x
  2. Step 2: Convert to fraction form
    21,943/44,925 = 44,925/x
  3. Step 3: Cross multiply
    21,943x = 44,925 × 44,925
  4. Step 4: Simplify right side
    21,943x = 2,018,255,625
  5. Step 5: Solve for x
    x = 2,018,255,625/21,943
  6. Step 6: Final answer
    x = 91,977.20

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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.