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Finding the Third Proportional to 35,381.25 and 75,822.75

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Solution

The third proportional to 35,381.25 and 75,822.75 is: 162,489.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,381.25 : 75,822.75 = 75,822.75 : x
  2. Step 2: Convert to fraction form
    35,381.25/75,822.75 = 75,822.75/x
  3. Step 3: Cross multiply
    35,381.25x = 75,822.75 × 75,822.75
  4. Step 4: Simplify right side
    35,381.25x = 5,749,089,417.56
  5. Step 5: Solve for x
    x = 5,749,089,417.56/35,381.25
  6. Step 6: Final answer
    x = 162,489.72

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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.