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Finding the Third Proportional to 5,823 and 8,014.50

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Solution

The third proportional to 5,823 and 8,014.50 is: 11,030.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823 : 8,014.50 = 8,014.50 : x
  2. Step 2: Convert to fraction form
    5,823/8,014.50 = 8,014.50/x
  3. Step 3: Cross multiply
    5,823x = 8,014.50 × 8,014.50
  4. Step 4: Simplify right side
    5,823x = 64,232,210.25
  5. Step 5: Solve for x
    x = 64,232,210.25/5,823
  6. Step 6: Final answer
    x = 11,030.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.