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Finding the Third Proportional to 23,014.50 and 33,766.50

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Solution

The third proportional to 23,014.50 and 33,766.50 is: 49,541.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,014.50 : 33,766.50 = 33,766.50 : x
  2. Step 2: Convert to fraction form
    23,014.50/33,766.50 = 33,766.50/x
  3. Step 3: Cross multiply
    23,014.50x = 33,766.50 × 33,766.50
  4. Step 4: Simplify right side
    23,014.50x = 1,140,176,522.25
  5. Step 5: Solve for x
    x = 1,140,176,522.25/23,014.50
  6. Step 6: Final answer
    x = 49,541.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.