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Finding the Third Proportional to 16,830.25 and 26,403.75

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Solution

The third proportional to 16,830.25 and 26,403.75 is: 41,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,830.25 : 26,403.75 = 26,403.75 : x
  2. Step 2: Convert to fraction form
    16,830.25/26,403.75 = 26,403.75/x
  3. Step 3: Cross multiply
    16,830.25x = 26,403.75 × 26,403.75
  4. Step 4: Simplify right side
    16,830.25x = 697,158,014.06
  5. Step 5: Solve for x
    x = 697,158,014.06/16,830.25
  6. Step 6: Final answer
    x = 41,422.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.