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Finding the Third Proportional to 30,074.63 and 64,962

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Solution

The third proportional to 30,074.63 and 64,962 is: 140,319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,074.63 : 64,962 = 64,962 : x
  2. Step 2: Convert to fraction form
    30,074.63/64,962 = 64,962/x
  3. Step 3: Cross multiply
    30,074.63x = 64,962 × 64,962
  4. Step 4: Simplify right side
    30,074.63x = 4,220,061,444
  5. Step 5: Solve for x
    x = 4,220,061,444/30,074.63
  6. Step 6: Final answer
    x = 140,319.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.