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Finding the Third Proportional to 7,578 and 10,656

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Solution

The third proportional to 7,578 and 10,656 is: 14,984.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578 : 10,656 = 10,656 : x
  2. Step 2: Convert to fraction form
    7,578/10,656 = 10,656/x
  3. Step 3: Cross multiply
    7,578x = 10,656 × 10,656
  4. Step 4: Simplify right side
    7,578x = 113,550,336
  5. Step 5: Solve for x
    x = 113,550,336/7,578
  6. Step 6: Final answer
    x = 14,984.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.