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Finding the Third Proportional to 41,943 and 65,452.50

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Solution

The third proportional to 41,943 and 65,452.50 is: 102,139.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,943 : 65,452.50 = 65,452.50 : x
  2. Step 2: Convert to fraction form
    41,943/65,452.50 = 65,452.50/x
  3. Step 3: Cross multiply
    41,943x = 65,452.50 × 65,452.50
  4. Step 4: Simplify right side
    41,943x = 4,284,029,756.25
  5. Step 5: Solve for x
    x = 4,284,029,756.25/41,943
  6. Step 6: Final answer
    x = 102,139.33

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.