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Finding the Third Proportional to 10,416.73 and 13,905.11

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Solution

The third proportional to 10,416.73 and 13,905.11 is: 18,561.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.73 : 13,905.11 = 13,905.11 : x
  2. Step 2: Convert to fraction form
    10,416.73/13,905.11 = 13,905.11/x
  3. Step 3: Cross multiply
    10,416.73x = 13,905.11 × 13,905.11
  4. Step 4: Simplify right side
    10,416.73x = 193,351,958.10
  5. Step 5: Solve for x
    x = 193,351,958.10/10,416.73
  6. Step 6: Final answer
    x = 18,561.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.