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Finding the Third Proportional to 25,373.50 and 36,064

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Solution

The third proportional to 25,373.50 and 36,064 is: 51,258.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,373.50 : 36,064 = 36,064 : x
  2. Step 2: Convert to fraction form
    25,373.50/36,064 = 36,064/x
  3. Step 3: Cross multiply
    25,373.50x = 36,064 × 36,064
  4. Step 4: Simplify right side
    25,373.50x = 1,300,612,096
  5. Step 5: Solve for x
    x = 1,300,612,096/25,373.50
  6. Step 6: Final answer
    x = 51,258.68

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.