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Finding the Third Proportional to 35,815.50 and 43,375.50

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Solution

The third proportional to 35,815.50 and 43,375.50 is: 52,531.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,815.50 : 43,375.50 = 43,375.50 : x
  2. Step 2: Convert to fraction form
    35,815.50/43,375.50 = 43,375.50/x
  3. Step 3: Cross multiply
    35,815.50x = 43,375.50 × 43,375.50
  4. Step 4: Simplify right side
    35,815.50x = 1,881,434,000.25
  5. Step 5: Solve for x
    x = 1,881,434,000.25/35,815.50
  6. Step 6: Final answer
    x = 52,531.28

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.