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Finding the Third Proportional to 36,978.19 and 54,008.44

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Solution

The third proportional to 36,978.19 and 54,008.44 is: 78,881.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978.19 : 54,008.44 = 54,008.44 : x
  2. Step 2: Convert to fraction form
    36,978.19/54,008.44 = 54,008.44/x
  3. Step 3: Cross multiply
    36,978.19x = 54,008.44 × 54,008.44
  4. Step 4: Simplify right side
    36,978.19x = 2,916,911,321.19
  5. Step 5: Solve for x
    x = 2,916,911,321.19/36,978.19
  6. Step 6: Final answer
    x = 78,881.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.