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Finding the Third Proportional to 28,422 and 59,790

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Solution

The third proportional to 28,422 and 59,790 is: 125,777.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,422 : 59,790 = 59,790 : x
  2. Step 2: Convert to fraction form
    28,422/59,790 = 59,790/x
  3. Step 3: Cross multiply
    28,422x = 59,790 × 59,790
  4. Step 4: Simplify right side
    28,422x = 3,574,844,100
  5. Step 5: Solve for x
    x = 3,574,844,100/28,422
  6. Step 6: Final answer
    x = 125,777.36

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.