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Finding the Third Proportional to 6,797.25 and 14,411.25

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Solution

The third proportional to 6,797.25 and 14,411.25 is: 30,554.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.25 : 14,411.25 = 14,411.25 : x
  2. Step 2: Convert to fraction form
    6,797.25/14,411.25 = 14,411.25/x
  3. Step 3: Cross multiply
    6,797.25x = 14,411.25 × 14,411.25
  4. Step 4: Simplify right side
    6,797.25x = 207,684,126.56
  5. Step 5: Solve for x
    x = 207,684,126.56/6,797.25
  6. Step 6: Final answer
    x = 30,554.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.