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Finding the Third Proportional to 4,156 and 6,304

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Solution

The third proportional to 4,156 and 6,304 is: 9,562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156 : 6,304 = 6,304 : x
  2. Step 2: Convert to fraction form
    4,156/6,304 = 6,304/x
  3. Step 3: Cross multiply
    4,156x = 6,304 × 6,304
  4. Step 4: Simplify right side
    4,156x = 39,740,416
  5. Step 5: Solve for x
    x = 39,740,416/4,156
  6. Step 6: Final answer
    x = 9,562.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.