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Finding the Third Proportional to 29,683.13 and 64,027.13

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Solution

The third proportional to 29,683.13 and 64,027.13 is: 138,107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,683.13 : 64,027.13 = 64,027.13 : x
  2. Step 2: Convert to fraction form
    29,683.13/64,027.13 = 64,027.13/x
  3. Step 3: Cross multiply
    29,683.13x = 64,027.13 × 64,027.13
  4. Step 4: Simplify right side
    29,683.13x = 4,099,472,735.77
  5. Step 5: Solve for x
    x = 4,099,472,735.77/29,683.13
  6. Step 6: Final answer
    x = 138,107.86

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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.