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Finding the Third Proportional to 23,931 and 34,255.50

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Solution

The third proportional to 23,931 and 34,255.50 is: 49,034.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,931 : 34,255.50 = 34,255.50 : x
  2. Step 2: Convert to fraction form
    23,931/34,255.50 = 34,255.50/x
  3. Step 3: Cross multiply
    23,931x = 34,255.50 × 34,255.50
  4. Step 4: Simplify right side
    23,931x = 1,173,439,280.25
  5. Step 5: Solve for x
    x = 1,173,439,280.25/23,931
  6. Step 6: Final answer
    x = 49,034.28

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.