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Finding the Third Proportional to 6,412.92 and 13,953.52

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Solution

The third proportional to 6,412.92 and 13,953.52 is: 30,360.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.92 : 13,953.52 = 13,953.52 : x
  2. Step 2: Convert to fraction form
    6,412.92/13,953.52 = 13,953.52/x
  3. Step 3: Cross multiply
    6,412.92x = 13,953.52 × 13,953.52
  4. Step 4: Simplify right side
    6,412.92x = 194,700,598.30
  5. Step 5: Solve for x
    x = 194,700,598.30/6,412.92
  6. Step 6: Final answer
    x = 30,360.67

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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.