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Finding the Third Proportional to 12,607.88 and 17,672.63

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Solution

The third proportional to 12,607.88 and 17,672.63 is: 24,771.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,607.88 : 17,672.63 = 17,672.63 : x
  2. Step 2: Convert to fraction form
    12,607.88/17,672.63 = 17,672.63/x
  3. Step 3: Cross multiply
    12,607.88x = 17,672.63 × 17,672.63
  4. Step 4: Simplify right side
    12,607.88x = 312,321,674.39
  5. Step 5: Solve for x
    x = 312,321,674.39/12,607.88
  6. Step 6: Final answer
    x = 24,771.95

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.