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Finding the Third Proportional to 27,796 and 46,158

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Solution

The third proportional to 27,796 and 46,158 is: 76,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,796 : 46,158 = 46,158 : x
  2. Step 2: Convert to fraction form
    27,796/46,158 = 46,158/x
  3. Step 3: Cross multiply
    27,796x = 46,158 × 46,158
  4. Step 4: Simplify right side
    27,796x = 2,130,560,964
  5. Step 5: Solve for x
    x = 2,130,560,964/27,796
  6. Step 6: Final answer
    x = 76,649.91

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.