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Finding the Third Proportional to 42,274.41 and 65,427.75

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Solution

The third proportional to 42,274.41 and 65,427.75 is: 101,261.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,274.41 : 65,427.75 = 65,427.75 : x
  2. Step 2: Convert to fraction form
    42,274.41/65,427.75 = 65,427.75/x
  3. Step 3: Cross multiply
    42,274.41x = 65,427.75 × 65,427.75
  4. Step 4: Simplify right side
    42,274.41x = 4,280,790,470.06
  5. Step 5: Solve for x
    x = 4,280,790,470.06/42,274.41
  6. Step 6: Final answer
    x = 101,261.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.