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Finding the Third Proportional to 42,960.50 and 65,724.75

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Solution

The third proportional to 42,960.50 and 65,724.75 is: 100,551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,960.50 : 65,724.75 = 65,724.75 : x
  2. Step 2: Convert to fraction form
    42,960.50/65,724.75 = 65,724.75/x
  3. Step 3: Cross multiply
    42,960.50x = 65,724.75 × 65,724.75
  4. Step 4: Simplify right side
    42,960.50x = 4,319,742,762.56
  5. Step 5: Solve for x
    x = 4,319,742,762.56/42,960.50
  6. Step 6: Final answer
    x = 100,551.50

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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.