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Finding the Third Proportional to 51,818.50 and 61,280.50

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Solution

The third proportional to 51,818.50 and 61,280.50 is: 72,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,818.50 : 61,280.50 = 61,280.50 : x
  2. Step 2: Convert to fraction form
    51,818.50/61,280.50 = 61,280.50/x
  3. Step 3: Cross multiply
    51,818.50x = 61,280.50 × 61,280.50
  4. Step 4: Simplify right side
    51,818.50x = 3,755,299,680.25
  5. Step 5: Solve for x
    x = 3,755,299,680.25/51,818.50
  6. Step 6: Final answer
    x = 72,470.25

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.