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Finding the Third Proportional to 35,833 and 55,597.25

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Solution

The third proportional to 35,833 and 55,597.25 is: 86,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,833 : 55,597.25 = 55,597.25 : x
  2. Step 2: Convert to fraction form
    35,833/55,597.25 = 55,597.25/x
  3. Step 3: Cross multiply
    35,833x = 55,597.25 × 55,597.25
  4. Step 4: Simplify right side
    35,833x = 3,091,054,207.56
  5. Step 5: Solve for x
    x = 3,091,054,207.56/35,833
  6. Step 6: Final answer
    x = 86,262.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.