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Finding the Third Proportional to 35,525 and 53,044

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Solution

The third proportional to 35,525 and 53,044 is: 79,202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,525 : 53,044 = 53,044 : x
  2. Step 2: Convert to fraction form
    35,525/53,044 = 53,044/x
  3. Step 3: Cross multiply
    35,525x = 53,044 × 53,044
  4. Step 4: Simplify right side
    35,525x = 2,813,665,936
  5. Step 5: Solve for x
    x = 2,813,665,936/35,525
  6. Step 6: Final answer
    x = 79,202.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.