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Finding the Third Proportional to 35,347.75 and 76,230.50

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Solution

The third proportional to 35,347.75 and 76,230.50 is: 164,397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,347.75 : 76,230.50 = 76,230.50 : x
  2. Step 2: Convert to fraction form
    35,347.75/76,230.50 = 76,230.50/x
  3. Step 3: Cross multiply
    35,347.75x = 76,230.50 × 76,230.50
  4. Step 4: Simplify right side
    35,347.75x = 5,811,089,130.25
  5. Step 5: Solve for x
    x = 5,811,089,130.25/35,347.75
  6. Step 6: Final answer
    x = 164,397.71

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