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Finding the Third Proportional to 17,336 and 40,798

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Solution

The third proportional to 17,336 and 40,798 is: 96,012.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,336 : 40,798 = 40,798 : x
  2. Step 2: Convert to fraction form
    17,336/40,798 = 40,798/x
  3. Step 3: Cross multiply
    17,336x = 40,798 × 40,798
  4. Step 4: Simplify right side
    17,336x = 1,664,476,804
  5. Step 5: Solve for x
    x = 1,664,476,804/17,336
  6. Step 6: Final answer
    x = 96,012.74

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.