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Finding the Third Proportional to 38,256.75 and 70,224.75

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Solution

The third proportional to 38,256.75 and 70,224.75 is: 128,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,256.75 : 70,224.75 = 70,224.75 : x
  2. Step 2: Convert to fraction form
    38,256.75/70,224.75 = 70,224.75/x
  3. Step 3: Cross multiply
    38,256.75x = 70,224.75 × 70,224.75
  4. Step 4: Simplify right side
    38,256.75x = 4,931,515,512.56
  5. Step 5: Solve for x
    x = 4,931,515,512.56/38,256.75
  6. Step 6: Final answer
    x = 128,905.76

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.