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Finding the Third Proportional to 21,066 and 44,729.25

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Solution

The third proportional to 21,066 and 44,729.25 is: 94,973.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,066 : 44,729.25 = 44,729.25 : x
  2. Step 2: Convert to fraction form
    21,066/44,729.25 = 44,729.25/x
  3. Step 3: Cross multiply
    21,066x = 44,729.25 × 44,729.25
  4. Step 4: Simplify right side
    21,066x = 2,000,705,805.56
  5. Step 5: Solve for x
    x = 2,000,705,805.56/21,066
  6. Step 6: Final answer
    x = 94,973.22

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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.