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Finding the Third Proportional to 13,494 and 28,460

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Solution

The third proportional to 13,494 and 28,460 is: 60,024.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494 : 28,460 = 28,460 : x
  2. Step 2: Convert to fraction form
    13,494/28,460 = 28,460/x
  3. Step 3: Cross multiply
    13,494x = 28,460 × 28,460
  4. Step 4: Simplify right side
    13,494x = 809,971,600
  5. Step 5: Solve for x
    x = 809,971,600/13,494
  6. Step 6: Final answer
    x = 60,024.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.