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Finding the Third Proportional to 32,917.48 and 70,831.18

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Solution

The third proportional to 32,917.48 and 70,831.18 is: 152,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,917.48 : 70,831.18 = 70,831.18 : x
  2. Step 2: Convert to fraction form
    32,917.48/70,831.18 = 70,831.18/x
  3. Step 3: Cross multiply
    32,917.48x = 70,831.18 × 70,831.18
  4. Step 4: Simplify right side
    32,917.48x = 5,017,055,739.24
  5. Step 5: Solve for x
    x = 5,017,055,739.24/32,917.48
  6. Step 6: Final answer
    x = 152,413.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.