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Finding the Third Proportional to 30,525.75 and 66,125.81

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Solution

The third proportional to 30,525.75 and 66,125.81 is: 143,243.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,525.75 : 66,125.81 = 66,125.81 : x
  2. Step 2: Convert to fraction form
    30,525.75/66,125.81 = 66,125.81/x
  3. Step 3: Cross multiply
    30,525.75x = 66,125.81 × 66,125.81
  4. Step 4: Simplify right side
    30,525.75x = 4,372,623,078.79
  5. Step 5: Solve for x
    x = 4,372,623,078.79/30,525.75
  6. Step 6: Final answer
    x = 143,243.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.