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Finding the Third Proportional to 30,540.75 and 46,719.75

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Solution

The third proportional to 30,540.75 and 46,719.75 is: 71,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,540.75 : 46,719.75 = 46,719.75 : x
  2. Step 2: Convert to fraction form
    30,540.75/46,719.75 = 46,719.75/x
  3. Step 3: Cross multiply
    30,540.75x = 46,719.75 × 46,719.75
  4. Step 4: Simplify right side
    30,540.75x = 2,182,735,040.06
  5. Step 5: Solve for x
    x = 2,182,735,040.06/30,540.75
  6. Step 6: Final answer
    x = 71,469.60

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.