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Finding the Third Proportional to 30,619.88 and 65,613.75

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Solution

The third proportional to 30,619.88 and 65,613.75 is: 140,600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,619.88 : 65,613.75 = 65,613.75 : x
  2. Step 2: Convert to fraction form
    30,619.88/65,613.75 = 65,613.75/x
  3. Step 3: Cross multiply
    30,619.88x = 65,613.75 × 65,613.75
  4. Step 4: Simplify right side
    30,619.88x = 4,305,164,189.06
  5. Step 5: Solve for x
    x = 4,305,164,189.06/30,619.88
  6. Step 6: Final answer
    x = 140,600.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.