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Finding the Third Proportional to 26,324.25 and 40,441.50

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Solution

The third proportional to 26,324.25 and 40,441.50 is: 62,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,324.25 : 40,441.50 = 40,441.50 : x
  2. Step 2: Convert to fraction form
    26,324.25/40,441.50 = 40,441.50/x
  3. Step 3: Cross multiply
    26,324.25x = 40,441.50 × 40,441.50
  4. Step 4: Simplify right side
    26,324.25x = 1,635,514,922.25
  5. Step 5: Solve for x
    x = 1,635,514,922.25/26,324.25
  6. Step 6: Final answer
    x = 62,129.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.