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Finding the Third Proportional to 30,081.75 and 65,358.75

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Solution

The third proportional to 30,081.75 and 65,358.75 is: 142,005.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,081.75 : 65,358.75 = 65,358.75 : x
  2. Step 2: Convert to fraction form
    30,081.75/65,358.75 = 65,358.75/x
  3. Step 3: Cross multiply
    30,081.75x = 65,358.75 × 65,358.75
  4. Step 4: Simplify right side
    30,081.75x = 4,271,766,201.56
  5. Step 5: Solve for x
    x = 4,271,766,201.56/30,081.75
  6. Step 6: Final answer
    x = 142,005.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.