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Finding the Third Proportional to 34,669 and 74,873

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Solution

The third proportional to 34,669 and 74,873 is: 161,699.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,669 : 74,873 = 74,873 : x
  2. Step 2: Convert to fraction form
    34,669/74,873 = 74,873/x
  3. Step 3: Cross multiply
    34,669x = 74,873 × 74,873
  4. Step 4: Simplify right side
    34,669x = 5,605,966,129
  5. Step 5: Solve for x
    x = 5,605,966,129/34,669
  6. Step 6: Final answer
    x = 161,699.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.