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Finding the Third Proportional to 5,213 and 5,945

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Solution

The third proportional to 5,213 and 5,945 is: 6,779.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213 : 5,945 = 5,945 : x
  2. Step 2: Convert to fraction form
    5,213/5,945 = 5,945/x
  3. Step 3: Cross multiply
    5,213x = 5,945 × 5,945
  4. Step 4: Simplify right side
    5,213x = 35,343,025
  5. Step 5: Solve for x
    x = 35,343,025/5,213
  6. Step 6: Final answer
    x = 6,779.79

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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.