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Finding the Third Proportional to 29,752 and 40,796

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Solution

The third proportional to 29,752 and 40,796 is: 55,939.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,752 : 40,796 = 40,796 : x
  2. Step 2: Convert to fraction form
    29,752/40,796 = 40,796/x
  3. Step 3: Cross multiply
    29,752x = 40,796 × 40,796
  4. Step 4: Simplify right side
    29,752x = 1,664,313,616
  5. Step 5: Solve for x
    x = 1,664,313,616/29,752
  6. Step 6: Final answer
    x = 55,939.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.