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Finding the Third Proportional to 36,346 and 57,651

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Solution

The third proportional to 36,346 and 57,651 is: 91,444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,346 : 57,651 = 57,651 : x
  2. Step 2: Convert to fraction form
    36,346/57,651 = 57,651/x
  3. Step 3: Cross multiply
    36,346x = 57,651 × 57,651
  4. Step 4: Simplify right side
    36,346x = 3,323,637,801
  5. Step 5: Solve for x
    x = 3,323,637,801/36,346
  6. Step 6: Final answer
    x = 91,444.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.