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Finding the Third Proportional to 30,013.50 and 65,157

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Solution

The third proportional to 30,013.50 and 65,157 is: 141,450.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,013.50 : 65,157 = 65,157 : x
  2. Step 2: Convert to fraction form
    30,013.50/65,157 = 65,157/x
  3. Step 3: Cross multiply
    30,013.50x = 65,157 × 65,157
  4. Step 4: Simplify right side
    30,013.50x = 4,245,434,649
  5. Step 5: Solve for x
    x = 4,245,434,649/30,013.50
  6. Step 6: Final answer
    x = 141,450.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.