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Finding the Third Proportional to 5,310 and 6,054

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Solution

The third proportional to 5,310 and 6,054 is: 6,902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310 : 6,054 = 6,054 : x
  2. Step 2: Convert to fraction form
    5,310/6,054 = 6,054/x
  3. Step 3: Cross multiply
    5,310x = 6,054 × 6,054
  4. Step 4: Simplify right side
    5,310x = 36,650,916
  5. Step 5: Solve for x
    x = 36,650,916/5,310
  6. Step 6: Final answer
    x = 6,902.24

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.