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Finding the Third Proportional to 29,811 and 63,176.25

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Solution

The third proportional to 29,811 and 63,176.25 is: 133,884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,811 : 63,176.25 = 63,176.25 : x
  2. Step 2: Convert to fraction form
    29,811/63,176.25 = 63,176.25/x
  3. Step 3: Cross multiply
    29,811x = 63,176.25 × 63,176.25
  4. Step 4: Simplify right side
    29,811x = 3,991,238,564.06
  5. Step 5: Solve for x
    x = 3,991,238,564.06/29,811
  6. Step 6: Final answer
    x = 133,884.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.