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Finding the Third Proportional to 5,323.75 and 8,334.38

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Solution

The third proportional to 5,323.75 and 8,334.38 is: 13,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.75 : 8,334.38 = 8,334.38 : x
  2. Step 2: Convert to fraction form
    5,323.75/8,334.38 = 8,334.38/x
  3. Step 3: Cross multiply
    5,323.75x = 8,334.38 × 8,334.38
  4. Step 4: Simplify right side
    5,323.75x = 69,461,806.64
  5. Step 5: Solve for x
    x = 69,461,806.64/5,323.75
  6. Step 6: Final answer
    x = 13,047.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.