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Finding the Third Proportional to 16,826 and 24,455

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Solution

The third proportional to 16,826 and 24,455 is: 35,543.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,826 : 24,455 = 24,455 : x
  2. Step 2: Convert to fraction form
    16,826/24,455 = 24,455/x
  3. Step 3: Cross multiply
    16,826x = 24,455 × 24,455
  4. Step 4: Simplify right side
    16,826x = 598,047,025
  5. Step 5: Solve for x
    x = 598,047,025/16,826
  6. Step 6: Final answer
    x = 35,543.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.