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Finding the Third Proportional to 30,113.44 and 65,591.44

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Solution

The third proportional to 30,113.44 and 65,591.44 is: 142,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,113.44 : 65,591.44 = 65,591.44 : x
  2. Step 2: Convert to fraction form
    30,113.44/65,591.44 = 65,591.44/x
  3. Step 3: Cross multiply
    30,113.44x = 65,591.44 × 65,591.44
  4. Step 4: Simplify right side
    30,113.44x = 4,302,236,673.32
  5. Step 5: Solve for x
    x = 4,302,236,673.32/30,113.44
  6. Step 6: Final answer
    x = 142,867.67

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Why These Related Problems?

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