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Finding the Third Proportional to 11,835 and 13,900.50

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Solution

The third proportional to 11,835 and 13,900.50 is: 16,326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835 : 13,900.50 = 13,900.50 : x
  2. Step 2: Convert to fraction form
    11,835/13,900.50 = 13,900.50/x
  3. Step 3: Cross multiply
    11,835x = 13,900.50 × 13,900.50
  4. Step 4: Simplify right side
    11,835x = 193,223,900.25
  5. Step 5: Solve for x
    x = 193,223,900.25/11,835
  6. Step 6: Final answer
    x = 16,326.48

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.