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Finding the Third Proportional to 35,376.75 and 76,291.88

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Solution

The third proportional to 35,376.75 and 76,291.88 is: 164,527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,376.75 : 76,291.88 = 76,291.88 : x
  2. Step 2: Convert to fraction form
    35,376.75/76,291.88 = 76,291.88/x
  3. Step 3: Cross multiply
    35,376.75x = 76,291.88 × 76,291.88
  4. Step 4: Simplify right side
    35,376.75x = 5,820,450,191.02
  5. Step 5: Solve for x
    x = 5,820,450,191.02/35,376.75
  6. Step 6: Final answer
    x = 164,527.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.