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Finding the Third Proportional to 6,228.25 and 13,159.50

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Solution

The third proportional to 6,228.25 and 13,159.50 is: 27,804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.25 : 13,159.50 = 13,159.50 : x
  2. Step 2: Convert to fraction form
    6,228.25/13,159.50 = 13,159.50/x
  3. Step 3: Cross multiply
    6,228.25x = 13,159.50 × 13,159.50
  4. Step 4: Simplify right side
    6,228.25x = 173,172,440.25
  5. Step 5: Solve for x
    x = 173,172,440.25/6,228.25
  6. Step 6: Final answer
    x = 27,804.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.