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Finding the Third Proportional to 36,804 and 58,373

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Solution

The third proportional to 36,804 and 58,373 is: 92,582.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,804 : 58,373 = 58,373 : x
  2. Step 2: Convert to fraction form
    36,804/58,373 = 58,373/x
  3. Step 3: Cross multiply
    36,804x = 58,373 × 58,373
  4. Step 4: Simplify right side
    36,804x = 3,407,407,129
  5. Step 5: Solve for x
    x = 3,407,407,129/36,804
  6. Step 6: Final answer
    x = 92,582.52

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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.