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Finding the Third Proportional to 45,693 and 69,025.50

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Solution

The third proportional to 45,693 and 69,025.50 is: 104,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,693 : 69,025.50 = 69,025.50 : x
  2. Step 2: Convert to fraction form
    45,693/69,025.50 = 69,025.50/x
  3. Step 3: Cross multiply
    45,693x = 69,025.50 × 69,025.50
  4. Step 4: Simplify right side
    45,693x = 4,764,519,650.25
  5. Step 5: Solve for x
    x = 4,764,519,650.25/45,693
  6. Step 6: Final answer
    x = 104,272.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.