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Finding the Third Proportional to 30,996 and 48,114

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Solution

The third proportional to 30,996 and 48,114 is: 74,685.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,996 : 48,114 = 48,114 : x
  2. Step 2: Convert to fraction form
    30,996/48,114 = 48,114/x
  3. Step 3: Cross multiply
    30,996x = 48,114 × 48,114
  4. Step 4: Simplify right side
    30,996x = 2,314,956,996
  5. Step 5: Solve for x
    x = 2,314,956,996/30,996
  6. Step 6: Final answer
    x = 74,685.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.