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Finding the Third Proportional to 40,783 and 62,705.50

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Solution

The third proportional to 40,783 and 62,705.50 is: 96,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,783 : 62,705.50 = 62,705.50 : x
  2. Step 2: Convert to fraction form
    40,783/62,705.50 = 62,705.50/x
  3. Step 3: Cross multiply
    40,783x = 62,705.50 × 62,705.50
  4. Step 4: Simplify right side
    40,783x = 3,931,979,730.25
  5. Step 5: Solve for x
    x = 3,931,979,730.25/40,783
  6. Step 6: Final answer
    x = 96,412.22

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