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Finding the Third Proportional to 37,830.50 and 54,963.50

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Solution

The third proportional to 37,830.50 and 54,963.50 is: 79,855.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,830.50 : 54,963.50 = 54,963.50 : x
  2. Step 2: Convert to fraction form
    37,830.50/54,963.50 = 54,963.50/x
  3. Step 3: Cross multiply
    37,830.50x = 54,963.50 × 54,963.50
  4. Step 4: Simplify right side
    37,830.50x = 3,020,986,332.25
  5. Step 5: Solve for x
    x = 3,020,986,332.25/37,830.50
  6. Step 6: Final answer
    x = 79,855.84

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.