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Finding the Third Proportional to 26,524.88 and 36,045.19

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Solution

The third proportional to 26,524.88 and 36,045.19 is: 48,982.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,524.88 : 36,045.19 = 36,045.19 : x
  2. Step 2: Convert to fraction form
    26,524.88/36,045.19 = 36,045.19/x
  3. Step 3: Cross multiply
    26,524.88x = 36,045.19 × 36,045.19
  4. Step 4: Simplify right side
    26,524.88x = 1,299,255,541.91
  5. Step 5: Solve for x
    x = 1,299,255,541.91/26,524.88
  6. Step 6: Final answer
    x = 48,982.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.