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Finding the Third Proportional to 42,795 and 65,873.25

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Solution

The third proportional to 42,795 and 65,873.25 is: 101,397.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,795 : 65,873.25 = 65,873.25 : x
  2. Step 2: Convert to fraction form
    42,795/65,873.25 = 65,873.25/x
  3. Step 3: Cross multiply
    42,795x = 65,873.25 × 65,873.25
  4. Step 4: Simplify right side
    42,795x = 4,339,285,065.56
  5. Step 5: Solve for x
    x = 4,339,285,065.56/42,795
  6. Step 6: Final answer
    x = 101,397.01

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.