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Finding the Third Proportional to 42,975.56 and 65,698.59

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Solution

The third proportional to 42,975.56 and 65,698.59 is: 100,436.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,975.56 : 65,698.59 = 65,698.59 : x
  2. Step 2: Convert to fraction form
    42,975.56/65,698.59 = 65,698.59/x
  3. Step 3: Cross multiply
    42,975.56x = 65,698.59 × 65,698.59
  4. Step 4: Simplify right side
    42,975.56x = 4,316,305,220.73
  5. Step 5: Solve for x
    x = 4,316,305,220.73/42,975.56
  6. Step 6: Final answer
    x = 100,436.27

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.