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Finding the Third Proportional to 43,149 and 58,297.50

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Solution

The third proportional to 43,149 and 58,297.50 is: 78,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,149 : 58,297.50 = 58,297.50 : x
  2. Step 2: Convert to fraction form
    43,149/58,297.50 = 58,297.50/x
  3. Step 3: Cross multiply
    43,149x = 58,297.50 × 58,297.50
  4. Step 4: Simplify right side
    43,149x = 3,398,598,506.25
  5. Step 5: Solve for x
    x = 3,398,598,506.25/43,149
  6. Step 6: Final answer
    x = 78,764.25

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.