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Finding the Third Proportional to 38,405.25 and 61,647.75

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Solution

The third proportional to 38,405.25 and 61,647.75 is: 98,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,405.25 : 61,647.75 = 61,647.75 : x
  2. Step 2: Convert to fraction form
    38,405.25/61,647.75 = 61,647.75/x
  3. Step 3: Cross multiply
    38,405.25x = 61,647.75 × 61,647.75
  4. Step 4: Simplify right side
    38,405.25x = 3,800,445,080.06
  5. Step 5: Solve for x
    x = 3,800,445,080.06/38,405.25
  6. Step 6: Final answer
    x = 98,956.39

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.