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Finding the Third Proportional to 32,880 and 46,524.50

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Solution

The third proportional to 32,880 and 46,524.50 is: 65,831.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,880 : 46,524.50 = 46,524.50 : x
  2. Step 2: Convert to fraction form
    32,880/46,524.50 = 46,524.50/x
  3. Step 3: Cross multiply
    32,880x = 46,524.50 × 46,524.50
  4. Step 4: Simplify right side
    32,880x = 2,164,529,100.25
  5. Step 5: Solve for x
    x = 2,164,529,100.25/32,880
  6. Step 6: Final answer
    x = 65,831.18

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.