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Finding the Third Proportional to 35,721 and 50,317.50

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Solution

The third proportional to 35,721 and 50,317.50 is: 70,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,721 : 50,317.50 = 50,317.50 : x
  2. Step 2: Convert to fraction form
    35,721/50,317.50 = 50,317.50/x
  3. Step 3: Cross multiply
    35,721x = 50,317.50 × 50,317.50
  4. Step 4: Simplify right side
    35,721x = 2,531,850,806.25
  5. Step 5: Solve for x
    x = 2,531,850,806.25/35,721
  6. Step 6: Final answer
    x = 70,878.50

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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.