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Finding the Third Proportional to 2,894 and 6,458

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Solution

The third proportional to 2,894 and 6,458 is: 14,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894 : 6,458 = 6,458 : x
  2. Step 2: Convert to fraction form
    2,894/6,458 = 6,458/x
  3. Step 3: Cross multiply
    2,894x = 6,458 × 6,458
  4. Step 4: Simplify right side
    2,894x = 41,705,764
  5. Step 5: Solve for x
    x = 41,705,764/2,894
  6. Step 6: Final answer
    x = 14,411.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.