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Finding the Third Proportional to 36,752 and 54,856

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Solution

The third proportional to 36,752 and 54,856 is: 81,878.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,752 : 54,856 = 54,856 : x
  2. Step 2: Convert to fraction form
    36,752/54,856 = 54,856/x
  3. Step 3: Cross multiply
    36,752x = 54,856 × 54,856
  4. Step 4: Simplify right side
    36,752x = 3,009,180,736
  5. Step 5: Solve for x
    x = 3,009,180,736/36,752
  6. Step 6: Final answer
    x = 81,878.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.