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Finding the Third Proportional to 38,019 and 92,455.50

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Solution

The third proportional to 38,019 and 92,455.50 is: 224,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,019 : 92,455.50 = 92,455.50 : x
  2. Step 2: Convert to fraction form
    38,019/92,455.50 = 92,455.50/x
  3. Step 3: Cross multiply
    38,019x = 92,455.50 × 92,455.50
  4. Step 4: Simplify right side
    38,019x = 8,548,019,480.25
  5. Step 5: Solve for x
    x = 8,548,019,480.25/38,019
  6. Step 6: Final answer
    x = 224,835.46

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.