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Finding the Third Proportional to 21,570.38 and 44,186.06

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Solution

The third proportional to 21,570.38 and 44,186.06 is: 90,513.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,570.38 : 44,186.06 = 44,186.06 : x
  2. Step 2: Convert to fraction form
    21,570.38/44,186.06 = 44,186.06/x
  3. Step 3: Cross multiply
    21,570.38x = 44,186.06 × 44,186.06
  4. Step 4: Simplify right side
    21,570.38x = 1,952,408,119.25
  5. Step 5: Solve for x
    x = 1,952,408,119.25/21,570.38
  6. Step 6: Final answer
    x = 90,513.41

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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.