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Finding the Third Proportional to 6,345 and 9,518

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Solution

The third proportional to 6,345 and 9,518 is: 14,277.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345 : 9,518 = 9,518 : x
  2. Step 2: Convert to fraction form
    6,345/9,518 = 9,518/x
  3. Step 3: Cross multiply
    6,345x = 9,518 × 9,518
  4. Step 4: Simplify right side
    6,345x = 90,592,324
  5. Step 5: Solve for x
    x = 90,592,324/6,345
  6. Step 6: Final answer
    x = 14,277.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.