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Finding the Third Proportional to 6,509 and 9,519

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Solution

The third proportional to 6,509 and 9,519 is: 13,920.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509 : 9,519 = 9,519 : x
  2. Step 2: Convert to fraction form
    6,509/9,519 = 9,519/x
  3. Step 3: Cross multiply
    6,509x = 9,519 × 9,519
  4. Step 4: Simplify right side
    6,509x = 90,611,361
  5. Step 5: Solve for x
    x = 90,611,361/6,509
  6. Step 6: Final answer
    x = 13,920.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.