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Finding the Third Proportional to 36,412.88 and 54,953.44

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Solution

The third proportional to 36,412.88 and 54,953.44 is: 82,934.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,412.88 : 54,953.44 = 54,953.44 : x
  2. Step 2: Convert to fraction form
    36,412.88/54,953.44 = 54,953.44/x
  3. Step 3: Cross multiply
    36,412.88x = 54,953.44 × 54,953.44
  4. Step 4: Simplify right side
    36,412.88x = 3,019,880,293.07
  5. Step 5: Solve for x
    x = 3,019,880,293.07/36,412.88
  6. Step 6: Final answer
    x = 82,934.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.