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Finding the Third Proportional to 29,820.38 and 64,311.38

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Solution

The third proportional to 29,820.38 and 64,311.38 is: 138,695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,820.38 : 64,311.38 = 64,311.38 : x
  2. Step 2: Convert to fraction form
    29,820.38/64,311.38 = 64,311.38/x
  3. Step 3: Cross multiply
    29,820.38x = 64,311.38 × 64,311.38
  4. Step 4: Simplify right side
    29,820.38x = 4,135,952,954.39
  5. Step 5: Solve for x
    x = 4,135,952,954.39/29,820.38
  6. Step 6: Final answer
    x = 138,695.54

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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.