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Finding the Third Proportional to 6,294.75 and 8,824.50

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Solution

The third proportional to 6,294.75 and 8,824.50 is: 12,370.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.75 : 8,824.50 = 8,824.50 : x
  2. Step 2: Convert to fraction form
    6,294.75/8,824.50 = 8,824.50/x
  3. Step 3: Cross multiply
    6,294.75x = 8,824.50 × 8,824.50
  4. Step 4: Simplify right side
    6,294.75x = 77,871,800.25
  5. Step 5: Solve for x
    x = 77,871,800.25/6,294.75
  6. Step 6: Final answer
    x = 12,370.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.