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Finding the Third Proportional to 12,762.75 and 19,158

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Solution

The third proportional to 12,762.75 and 19,158 is: 28,757.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.75 : 19,158 = 19,158 : x
  2. Step 2: Convert to fraction form
    12,762.75/19,158 = 19,158/x
  3. Step 3: Cross multiply
    12,762.75x = 19,158 × 19,158
  4. Step 4: Simplify right side
    12,762.75x = 367,028,964
  5. Step 5: Solve for x
    x = 367,028,964/12,762.75
  6. Step 6: Final answer
    x = 28,757.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.