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Finding the Third Proportional to 28,629 and 41,296.50

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Solution

The third proportional to 28,629 and 41,296.50 is: 59,569.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,629 : 41,296.50 = 41,296.50 : x
  2. Step 2: Convert to fraction form
    28,629/41,296.50 = 41,296.50/x
  3. Step 3: Cross multiply
    28,629x = 41,296.50 × 41,296.50
  4. Step 4: Simplify right side
    28,629x = 1,705,400,912.25
  5. Step 5: Solve for x
    x = 1,705,400,912.25/28,629
  6. Step 6: Final answer
    x = 59,569.00

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.