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Finding the Third Proportional to 8,316.50 and 11,070.75

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Solution

The third proportional to 8,316.50 and 11,070.75 is: 14,737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,316.50 : 11,070.75 = 11,070.75 : x
  2. Step 2: Convert to fraction form
    8,316.50/11,070.75 = 11,070.75/x
  3. Step 3: Cross multiply
    8,316.50x = 11,070.75 × 11,070.75
  4. Step 4: Simplify right side
    8,316.50x = 122,561,505.56
  5. Step 5: Solve for x
    x = 122,561,505.56/8,316.50
  6. Step 6: Final answer
    x = 14,737.15

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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.