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Finding the Third Proportional to 35,233 and 46,969.50

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Solution

The third proportional to 35,233 and 46,969.50 is: 62,615.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,233 : 46,969.50 = 46,969.50 : x
  2. Step 2: Convert to fraction form
    35,233/46,969.50 = 46,969.50/x
  3. Step 3: Cross multiply
    35,233x = 46,969.50 × 46,969.50
  4. Step 4: Simplify right side
    35,233x = 2,206,133,930.25
  5. Step 5: Solve for x
    x = 2,206,133,930.25/35,233
  6. Step 6: Final answer
    x = 62,615.56

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.