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Finding the Third Proportional to 40,135.50 and 52,788.38

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Solution

The third proportional to 40,135.50 and 52,788.38 is: 69,430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,135.50 : 52,788.38 = 52,788.38 : x
  2. Step 2: Convert to fraction form
    40,135.50/52,788.38 = 52,788.38/x
  3. Step 3: Cross multiply
    40,135.50x = 52,788.38 × 52,788.38
  4. Step 4: Simplify right side
    40,135.50x = 2,786,612,535.14
  5. Step 5: Solve for x
    x = 2,786,612,535.14/40,135.50
  6. Step 6: Final answer
    x = 69,430.12

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.