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Finding the Third Proportional to 6,746 and 7,358

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Solution

The third proportional to 6,746 and 7,358 is: 8,025.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746 : 7,358 = 7,358 : x
  2. Step 2: Convert to fraction form
    6,746/7,358 = 7,358/x
  3. Step 3: Cross multiply
    6,746x = 7,358 × 7,358
  4. Step 4: Simplify right side
    6,746x = 54,140,164
  5. Step 5: Solve for x
    x = 54,140,164/6,746
  6. Step 6: Final answer
    x = 8,025.52

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.