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Finding the Third Proportional to 6,714 and 7,258

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Solution

The third proportional to 6,714 and 7,258 is: 7,846.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714 : 7,258 = 7,258 : x
  2. Step 2: Convert to fraction form
    6,714/7,258 = 7,258/x
  3. Step 3: Cross multiply
    6,714x = 7,258 × 7,258
  4. Step 4: Simplify right side
    6,714x = 52,678,564
  5. Step 5: Solve for x
    x = 52,678,564/6,714
  6. Step 6: Final answer
    x = 7,846.08

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.