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Finding the Third Proportional to 42,384.75 and 57,561.75

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Solution

The third proportional to 42,384.75 and 57,561.75 is: 78,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,384.75 : 57,561.75 = 57,561.75 : x
  2. Step 2: Convert to fraction form
    42,384.75/57,561.75 = 57,561.75/x
  3. Step 3: Cross multiply
    42,384.75x = 57,561.75 × 57,561.75
  4. Step 4: Simplify right side
    42,384.75x = 3,313,355,063.06
  5. Step 5: Solve for x
    x = 3,313,355,063.06/42,384.75
  6. Step 6: Final answer
    x = 78,173.28

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.