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Finding the Third Proportional to 1,421.93 and 3,305.18

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Solution

The third proportional to 1,421.93 and 3,305.18 is: 7,682.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.93 : 3,305.18 = 3,305.18 : x
  2. Step 2: Convert to fraction form
    1,421.93/3,305.18 = 3,305.18/x
  3. Step 3: Cross multiply
    1,421.93x = 3,305.18 × 3,305.18
  4. Step 4: Simplify right side
    1,421.93x = 10,924,212.77
  5. Step 5: Solve for x
    x = 10,924,212.77/1,421.93
  6. Step 6: Final answer
    x = 7,682.67

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.