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Finding the Third Proportional to 12,416.63 and 18,685.69

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Solution

The third proportional to 12,416.63 and 18,685.69 is: 28,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.63 : 18,685.69 = 18,685.69 : x
  2. Step 2: Convert to fraction form
    12,416.63/18,685.69 = 18,685.69/x
  3. Step 3: Cross multiply
    12,416.63x = 18,685.69 × 18,685.69
  4. Step 4: Simplify right side
    12,416.63x = 349,154,917.35
  5. Step 5: Solve for x
    x = 349,154,917.35/12,416.63
  6. Step 6: Final answer
    x = 28,119.95

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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.