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Finding the Third Proportional to 12,318.96 and 19,302.84

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Solution

The third proportional to 12,318.96 and 19,302.84 is: 30,246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,318.96 : 19,302.84 = 19,302.84 : x
  2. Step 2: Convert to fraction form
    12,318.96/19,302.84 = 19,302.84/x
  3. Step 3: Cross multiply
    12,318.96x = 19,302.84 × 19,302.84
  4. Step 4: Simplify right side
    12,318.96x = 372,599,550.63
  5. Step 5: Solve for x
    x = 372,599,550.63/12,318.96
  6. Step 6: Final answer
    x = 30,246.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.