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Finding the Third Proportional to 6,292 and 8,545

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Solution

The third proportional to 6,292 and 8,545 is: 11,604.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292 : 8,545 = 8,545 : x
  2. Step 2: Convert to fraction form
    6,292/8,545 = 8,545/x
  3. Step 3: Cross multiply
    6,292x = 8,545 × 8,545
  4. Step 4: Simplify right side
    6,292x = 73,017,025
  5. Step 5: Solve for x
    x = 73,017,025/6,292
  6. Step 6: Final answer
    x = 11,604.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.