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Finding the Third Proportional to 5,810.70 and 11,927.67

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Solution

The third proportional to 5,810.70 and 11,927.67 is: 24,484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.70 : 11,927.67 = 11,927.67 : x
  2. Step 2: Convert to fraction form
    5,810.70/11,927.67 = 11,927.67/x
  3. Step 3: Cross multiply
    5,810.70x = 11,927.67 × 11,927.67
  4. Step 4: Simplify right side
    5,810.70x = 142,269,356.36
  5. Step 5: Solve for x
    x = 142,269,356.36/5,810.70
  6. Step 6: Final answer
    x = 24,484.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.