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Finding the Third Proportional to 16,833 and 35,490

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Solution

The third proportional to 16,833 and 35,490 is: 74,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,833 : 35,490 = 35,490 : x
  2. Step 2: Convert to fraction form
    16,833/35,490 = 35,490/x
  3. Step 3: Cross multiply
    16,833x = 35,490 × 35,490
  4. Step 4: Simplify right side
    16,833x = 1,259,540,100
  5. Step 5: Solve for x
    x = 1,259,540,100/16,833
  6. Step 6: Final answer
    x = 74,825.65

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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.