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Finding the Third Proportional to 11,659 and 18,490

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Solution

The third proportional to 11,659 and 18,490 is: 29,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659 : 18,490 = 18,490 : x
  2. Step 2: Convert to fraction form
    11,659/18,490 = 18,490/x
  3. Step 3: Cross multiply
    11,659x = 18,490 × 18,490
  4. Step 4: Simplify right side
    11,659x = 341,880,100
  5. Step 5: Solve for x
    x = 341,880,100/11,659
  6. Step 6: Final answer
    x = 29,323.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.