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Finding the Third Proportional to 32,462 and 49,044

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Solution

The third proportional to 32,462 and 49,044 is: 74,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,462 : 49,044 = 49,044 : x
  2. Step 2: Convert to fraction form
    32,462/49,044 = 49,044/x
  3. Step 3: Cross multiply
    32,462x = 49,044 × 49,044
  4. Step 4: Simplify right side
    32,462x = 2,405,313,936
  5. Step 5: Solve for x
    x = 2,405,313,936/32,462
  6. Step 6: Final answer
    x = 74,096.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.