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Finding the Third Proportional to 26,319.50 and 35,732.50

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Solution

The third proportional to 26,319.50 and 35,732.50 is: 48,512.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,319.50 : 35,732.50 = 35,732.50 : x
  2. Step 2: Convert to fraction form
    26,319.50/35,732.50 = 35,732.50/x
  3. Step 3: Cross multiply
    26,319.50x = 35,732.50 × 35,732.50
  4. Step 4: Simplify right side
    26,319.50x = 1,276,811,556.25
  5. Step 5: Solve for x
    x = 1,276,811,556.25/26,319.50
  6. Step 6: Final answer
    x = 48,512.00

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.