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Finding the Third Proportional to 35,904 and 79,044

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Solution

The third proportional to 35,904 and 79,044 is: 174,018.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,904 : 79,044 = 79,044 : x
  2. Step 2: Convert to fraction form
    35,904/79,044 = 79,044/x
  3. Step 3: Cross multiply
    35,904x = 79,044 × 79,044
  4. Step 4: Simplify right side
    35,904x = 6,247,953,936
  5. Step 5: Solve for x
    x = 6,247,953,936/35,904
  6. Step 6: Final answer
    x = 174,018.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.