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Finding the Third Proportional to 17,454 and 36,878.25

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Solution

The third proportional to 17,454 and 36,878.25 is: 77,919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,454 : 36,878.25 = 36,878.25 : x
  2. Step 2: Convert to fraction form
    17,454/36,878.25 = 36,878.25/x
  3. Step 3: Cross multiply
    17,454x = 36,878.25 × 36,878.25
  4. Step 4: Simplify right side
    17,454x = 1,360,005,323.06
  5. Step 5: Solve for x
    x = 1,360,005,323.06/17,454
  6. Step 6: Final answer
    x = 77,919.41

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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.