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Finding the Third Proportional to 22,994.25 and 35,619

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Solution

The third proportional to 22,994.25 and 35,619 is: 55,175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,994.25 : 35,619 = 35,619 : x
  2. Step 2: Convert to fraction form
    22,994.25/35,619 = 35,619/x
  3. Step 3: Cross multiply
    22,994.25x = 35,619 × 35,619
  4. Step 4: Simplify right side
    22,994.25x = 1,268,713,161
  5. Step 5: Solve for x
    x = 1,268,713,161/22,994.25
  6. Step 6: Final answer
    x = 55,175.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.