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Finding the Third Proportional to 52,735.50 and 74,263.50

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Solution

The third proportional to 52,735.50 and 74,263.50 is: 104,579.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,735.50 : 74,263.50 = 74,263.50 : x
  2. Step 2: Convert to fraction form
    52,735.50/74,263.50 = 74,263.50/x
  3. Step 3: Cross multiply
    52,735.50x = 74,263.50 × 74,263.50
  4. Step 4: Simplify right side
    52,735.50x = 5,515,067,432.25
  5. Step 5: Solve for x
    x = 5,515,067,432.25/52,735.50
  6. Step 6: Final answer
    x = 104,579.79

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.