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Finding the Third Proportional to 13,093 and 28,490

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Solution

The third proportional to 13,093 and 28,490 is: 61,993.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093 : 28,490 = 28,490 : x
  2. Step 2: Convert to fraction form
    13,093/28,490 = 28,490/x
  3. Step 3: Cross multiply
    13,093x = 28,490 × 28,490
  4. Step 4: Simplify right side
    13,093x = 811,680,100
  5. Step 5: Solve for x
    x = 811,680,100/13,093
  6. Step 6: Final answer
    x = 61,993.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.