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Finding the Third Proportional to 21,066 and 45,306

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Solution

The third proportional to 21,066 and 45,306 is: 97,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,066 : 45,306 = 45,306 : x
  2. Step 2: Convert to fraction form
    21,066/45,306 = 45,306/x
  3. Step 3: Cross multiply
    21,066x = 45,306 × 45,306
  4. Step 4: Simplify right side
    21,066x = 2,052,633,636
  5. Step 5: Solve for x
    x = 2,052,633,636/21,066
  6. Step 6: Final answer
    x = 97,438.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.