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Finding the Third Proportional to 36,488 and 54,752

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Solution

The third proportional to 36,488 and 54,752 is: 82,158.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,488 : 54,752 = 54,752 : x
  2. Step 2: Convert to fraction form
    36,488/54,752 = 54,752/x
  3. Step 3: Cross multiply
    36,488x = 54,752 × 54,752
  4. Step 4: Simplify right side
    36,488x = 2,997,781,504
  5. Step 5: Solve for x
    x = 2,997,781,504/36,488
  6. Step 6: Final answer
    x = 82,158.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.