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Finding the Third Proportional to 12,609.42 and 18,931.22

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Solution

The third proportional to 12,609.42 and 18,931.22 is: 28,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.42 : 18,931.22 = 18,931.22 : x
  2. Step 2: Convert to fraction form
    12,609.42/18,931.22 = 18,931.22/x
  3. Step 3: Cross multiply
    12,609.42x = 18,931.22 × 18,931.22
  4. Step 4: Simplify right side
    12,609.42x = 358,391,043.36
  5. Step 5: Solve for x
    x = 358,391,043.36/12,609.42
  6. Step 6: Final answer
    x = 28,422.48

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