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Finding the Third Proportional to 8,605.41 and 12,748.22

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Solution

The third proportional to 8,605.41 and 12,748.22 is: 18,885.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.41 : 12,748.22 = 12,748.22 : x
  2. Step 2: Convert to fraction form
    8,605.41/12,748.22 = 12,748.22/x
  3. Step 3: Cross multiply
    8,605.41x = 12,748.22 × 12,748.22
  4. Step 4: Simplify right side
    8,605.41x = 162,517,081.30
  5. Step 5: Solve for x
    x = 162,517,081.30/8,605.41
  6. Step 6: Final answer
    x = 18,885.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.