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Finding the Third Proportional to 7,085 and 14,458

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Solution

The third proportional to 7,085 and 14,458 is: 29,503.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085 : 14,458 = 14,458 : x
  2. Step 2: Convert to fraction form
    7,085/14,458 = 14,458/x
  3. Step 3: Cross multiply
    7,085x = 14,458 × 14,458
  4. Step 4: Simplify right side
    7,085x = 209,033,764
  5. Step 5: Solve for x
    x = 209,033,764/7,085
  6. Step 6: Final answer
    x = 29,503.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.