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Finding the Third Proportional to 32,104 and 49,412

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Solution

The third proportional to 32,104 and 49,412 is: 76,051.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,104 : 49,412 = 49,412 : x
  2. Step 2: Convert to fraction form
    32,104/49,412 = 49,412/x
  3. Step 3: Cross multiply
    32,104x = 49,412 × 49,412
  4. Step 4: Simplify right side
    32,104x = 2,441,545,744
  5. Step 5: Solve for x
    x = 2,441,545,744/32,104
  6. Step 6: Final answer
    x = 76,051.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.