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Finding the Third Proportional to 44,422 and 95,431

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Solution

The third proportional to 44,422 and 95,431 is: 205,012.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,422 : 95,431 = 95,431 : x
  2. Step 2: Convert to fraction form
    44,422/95,431 = 95,431/x
  3. Step 3: Cross multiply
    44,422x = 95,431 × 95,431
  4. Step 4: Simplify right side
    44,422x = 9,107,075,761
  5. Step 5: Solve for x
    x = 9,107,075,761/44,422
  6. Step 6: Final answer
    x = 205,012.74

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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.