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Finding the Third Proportional to 6,297 and 8,377.50

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Solution

The third proportional to 6,297 and 8,377.50 is: 11,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297 : 8,377.50 = 8,377.50 : x
  2. Step 2: Convert to fraction form
    6,297/8,377.50 = 8,377.50/x
  3. Step 3: Cross multiply
    6,297x = 8,377.50 × 8,377.50
  4. Step 4: Simplify right side
    6,297x = 70,182,506.25
  5. Step 5: Solve for x
    x = 70,182,506.25/6,297
  6. Step 6: Final answer
    x = 11,145.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.