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Finding the Third Proportional to 14,041 and 28,487

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Solution

The third proportional to 14,041 and 28,487 is: 57,795.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,041 : 28,487 = 28,487 : x
  2. Step 2: Convert to fraction form
    14,041/28,487 = 28,487/x
  3. Step 3: Cross multiply
    14,041x = 28,487 × 28,487
  4. Step 4: Simplify right side
    14,041x = 811,509,169
  5. Step 5: Solve for x
    x = 811,509,169/14,041
  6. Step 6: Final answer
    x = 57,795.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.