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Finding the Third Proportional to 4,306 and 8,495

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Solution

The third proportional to 4,306 and 8,495 is: 16,759.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306 : 8,495 = 8,495 : x
  2. Step 2: Convert to fraction form
    4,306/8,495 = 8,495/x
  3. Step 3: Cross multiply
    4,306x = 8,495 × 8,495
  4. Step 4: Simplify right side
    4,306x = 72,165,025
  5. Step 5: Solve for x
    x = 72,165,025/4,306
  6. Step 6: Final answer
    x = 16,759.18

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.