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Finding the Third Proportional to 5,302 and 6,905

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Solution

The third proportional to 5,302 and 6,905 is: 8,992.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302 : 6,905 = 6,905 : x
  2. Step 2: Convert to fraction form
    5,302/6,905 = 6,905/x
  3. Step 3: Cross multiply
    5,302x = 6,905 × 6,905
  4. Step 4: Simplify right side
    5,302x = 47,679,025
  5. Step 5: Solve for x
    x = 47,679,025/5,302
  6. Step 6: Final answer
    x = 8,992.65

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.