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Finding the Third Proportional to 30,136.41 and 65,630.34

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Solution

The third proportional to 30,136.41 and 65,630.34 is: 142,928.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,136.41 : 65,630.34 = 65,630.34 : x
  2. Step 2: Convert to fraction form
    30,136.41/65,630.34 = 65,630.34/x
  3. Step 3: Cross multiply
    30,136.41x = 65,630.34 × 65,630.34
  4. Step 4: Simplify right side
    30,136.41x = 4,307,342,020.74
  5. Step 5: Solve for x
    x = 4,307,342,020.74/30,136.41
  6. Step 6: Final answer
    x = 142,928.19

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.