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Finding the Third Proportional to 30,256.50 and 39,754.50

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Solution

The third proportional to 30,256.50 and 39,754.50 is: 52,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,256.50 : 39,754.50 = 39,754.50 : x
  2. Step 2: Convert to fraction form
    30,256.50/39,754.50 = 39,754.50/x
  3. Step 3: Cross multiply
    30,256.50x = 39,754.50 × 39,754.50
  4. Step 4: Simplify right side
    30,256.50x = 1,580,420,270.25
  5. Step 5: Solve for x
    x = 1,580,420,270.25/30,256.50
  6. Step 6: Final answer
    x = 52,234.07

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.