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Finding the Third Proportional to 8,211 and 11,038.50

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Solution

The third proportional to 8,211 and 11,038.50 is: 14,839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211 : 11,038.50 = 11,038.50 : x
  2. Step 2: Convert to fraction form
    8,211/11,038.50 = 11,038.50/x
  3. Step 3: Cross multiply
    8,211x = 11,038.50 × 11,038.50
  4. Step 4: Simplify right side
    8,211x = 121,848,482.25
  5. Step 5: Solve for x
    x = 121,848,482.25/8,211
  6. Step 6: Final answer
    x = 14,839.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.