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Finding the Third Proportional to 35,291.25 and 75,494.25

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Solution

The third proportional to 35,291.25 and 75,494.25 is: 161,495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,291.25 : 75,494.25 = 75,494.25 : x
  2. Step 2: Convert to fraction form
    35,291.25/75,494.25 = 75,494.25/x
  3. Step 3: Cross multiply
    35,291.25x = 75,494.25 × 75,494.25
  4. Step 4: Simplify right side
    35,291.25x = 5,699,381,783.06
  5. Step 5: Solve for x
    x = 5,699,381,783.06/35,291.25
  6. Step 6: Final answer
    x = 161,495.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.