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Finding the Third Proportional to 6,508 and 13,430

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Solution

The third proportional to 6,508 and 13,430 is: 27,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508 : 13,430 = 13,430 : x
  2. Step 2: Convert to fraction form
    6,508/13,430 = 13,430/x
  3. Step 3: Cross multiply
    6,508x = 13,430 × 13,430
  4. Step 4: Simplify right side
    6,508x = 180,364,900
  5. Step 5: Solve for x
    x = 180,364,900/6,508
  6. Step 6: Final answer
    x = 27,714.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.