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Finding the Third Proportional to 40,745.75 and 64,831.25

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Solution

The third proportional to 40,745.75 and 64,831.25 is: 103,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,745.75 : 64,831.25 = 64,831.25 : x
  2. Step 2: Convert to fraction form
    40,745.75/64,831.25 = 64,831.25/x
  3. Step 3: Cross multiply
    40,745.75x = 64,831.25 × 64,831.25
  4. Step 4: Simplify right side
    40,745.75x = 4,203,090,976.56
  5. Step 5: Solve for x
    x = 4,203,090,976.56/40,745.75
  6. Step 6: Final answer
    x = 103,154.10

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.