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Finding the Third Proportional to 8,809.88 and 12,884.06

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Solution

The third proportional to 8,809.88 and 12,884.06 is: 18,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,809.88 : 12,884.06 = 12,884.06 : x
  2. Step 2: Convert to fraction form
    8,809.88/12,884.06 = 12,884.06/x
  3. Step 3: Cross multiply
    8,809.88x = 12,884.06 × 12,884.06
  4. Step 4: Simplify right side
    8,809.88x = 165,999,066.50
  5. Step 5: Solve for x
    x = 165,999,066.50/8,809.88
  6. Step 6: Final answer
    x = 18,842.39

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.