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Finding the Third Proportional to 32,370.50 and 70,745.50

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Solution

The third proportional to 32,370.50 and 70,745.50 is: 154,613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,370.50 : 70,745.50 = 70,745.50 : x
  2. Step 2: Convert to fraction form
    32,370.50/70,745.50 = 70,745.50/x
  3. Step 3: Cross multiply
    32,370.50x = 70,745.50 × 70,745.50
  4. Step 4: Simplify right side
    32,370.50x = 5,004,925,770.25
  5. Step 5: Solve for x
    x = 5,004,925,770.25/32,370.50
  6. Step 6: Final answer
    x = 154,613.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.