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Finding the Third Proportional to 6,225.75 and 13,288.50

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Solution

The third proportional to 6,225.75 and 13,288.50 is: 28,363.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.75 : 13,288.50 = 13,288.50 : x
  2. Step 2: Convert to fraction form
    6,225.75/13,288.50 = 13,288.50/x
  3. Step 3: Cross multiply
    6,225.75x = 13,288.50 × 13,288.50
  4. Step 4: Simplify right side
    6,225.75x = 176,584,232.25
  5. Step 5: Solve for x
    x = 176,584,232.25/6,225.75
  6. Step 6: Final answer
    x = 28,363.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.