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Finding the Third Proportional to 6,968.53 and 10,392.05

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Solution

The third proportional to 6,968.53 and 10,392.05 is: 15,497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.53 : 10,392.05 = 10,392.05 : x
  2. Step 2: Convert to fraction form
    6,968.53/10,392.05 = 10,392.05/x
  3. Step 3: Cross multiply
    6,968.53x = 10,392.05 × 10,392.05
  4. Step 4: Simplify right side
    6,968.53x = 107,994,638.25
  5. Step 5: Solve for x
    x = 107,994,638.25/6,968.53
  6. Step 6: Final answer
    x = 15,497.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.