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Finding the Third Proportional to 5,214 and 8,341

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Solution

The third proportional to 5,214 and 8,341 is: 13,343.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214 : 8,341 = 8,341 : x
  2. Step 2: Convert to fraction form
    5,214/8,341 = 8,341/x
  3. Step 3: Cross multiply
    5,214x = 8,341 × 8,341
  4. Step 4: Simplify right side
    5,214x = 69,572,281
  5. Step 5: Solve for x
    x = 69,572,281/5,214
  6. Step 6: Final answer
    x = 13,343.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.