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Finding the Third Proportional to 35,745 and 54,385.50

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Solution

The third proportional to 35,745 and 54,385.50 is: 82,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,745 : 54,385.50 = 54,385.50 : x
  2. Step 2: Convert to fraction form
    35,745/54,385.50 = 54,385.50/x
  3. Step 3: Cross multiply
    35,745x = 54,385.50 × 54,385.50
  4. Step 4: Simplify right side
    35,745x = 2,957,782,610.25
  5. Step 5: Solve for x
    x = 2,957,782,610.25/35,745
  6. Step 6: Final answer
    x = 82,746.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.