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Finding the Third Proportional to 11,107.13 and 16,493.63

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Solution

The third proportional to 11,107.13 and 16,493.63 is: 24,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107.13 : 16,493.63 = 16,493.63 : x
  2. Step 2: Convert to fraction form
    11,107.13/16,493.63 = 16,493.63/x
  3. Step 3: Cross multiply
    11,107.13x = 16,493.63 × 16,493.63
  4. Step 4: Simplify right side
    11,107.13x = 272,039,665.64
  5. Step 5: Solve for x
    x = 272,039,665.64/11,107.13
  6. Step 6: Final answer
    x = 24,492.36

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