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Finding the Third Proportional to 36,008 and 52,796

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Solution

The third proportional to 36,008 and 52,796 is: 77,411.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,008 : 52,796 = 52,796 : x
  2. Step 2: Convert to fraction form
    36,008/52,796 = 52,796/x
  3. Step 3: Cross multiply
    36,008x = 52,796 × 52,796
  4. Step 4: Simplify right side
    36,008x = 2,787,417,616
  5. Step 5: Solve for x
    x = 2,787,417,616/36,008
  6. Step 6: Final answer
    x = 77,411.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.