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Finding the Third Proportional to 26,642.25 and 41,438.25

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Solution

The third proportional to 26,642.25 and 41,438.25 is: 64,451.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,642.25 : 41,438.25 = 41,438.25 : x
  2. Step 2: Convert to fraction form
    26,642.25/41,438.25 = 41,438.25/x
  3. Step 3: Cross multiply
    26,642.25x = 41,438.25 × 41,438.25
  4. Step 4: Simplify right side
    26,642.25x = 1,717,128,563.06
  5. Step 5: Solve for x
    x = 1,717,128,563.06/26,642.25
  6. Step 6: Final answer
    x = 64,451.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.