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Finding the Third Proportional to 37,053 and 50,395.50

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Solution

The third proportional to 37,053 and 50,395.50 is: 68,542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,053 : 50,395.50 = 50,395.50 : x
  2. Step 2: Convert to fraction form
    37,053/50,395.50 = 50,395.50/x
  3. Step 3: Cross multiply
    37,053x = 50,395.50 × 50,395.50
  4. Step 4: Simplify right side
    37,053x = 2,539,706,420.25
  5. Step 5: Solve for x
    x = 2,539,706,420.25/37,053
  6. Step 6: Final answer
    x = 68,542.53

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.