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Finding the Third Proportional to 6,162.75 and 14,140.50

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Solution

The third proportional to 6,162.75 and 14,140.50 is: 32,445.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.75 : 14,140.50 = 14,140.50 : x
  2. Step 2: Convert to fraction form
    6,162.75/14,140.50 = 14,140.50/x
  3. Step 3: Cross multiply
    6,162.75x = 14,140.50 × 14,140.50
  4. Step 4: Simplify right side
    6,162.75x = 199,953,740.25
  5. Step 5: Solve for x
    x = 199,953,740.25/6,162.75
  6. Step 6: Final answer
    x = 32,445.54

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.