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Finding the Third Proportional to 35,928 and 55,147.50

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Solution

The third proportional to 35,928 and 55,147.50 is: 84,648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,928 : 55,147.50 = 55,147.50 : x
  2. Step 2: Convert to fraction form
    35,928/55,147.50 = 55,147.50/x
  3. Step 3: Cross multiply
    35,928x = 55,147.50 × 55,147.50
  4. Step 4: Simplify right side
    35,928x = 3,041,246,756.25
  5. Step 5: Solve for x
    x = 3,041,246,756.25/35,928
  6. Step 6: Final answer
    x = 84,648.37

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.