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Finding the Third Proportional to 29,928 and 65,028

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Solution

The third proportional to 29,928 and 65,028 is: 141,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,928 : 65,028 = 65,028 : x
  2. Step 2: Convert to fraction form
    29,928/65,028 = 65,028/x
  3. Step 3: Cross multiply
    29,928x = 65,028 × 65,028
  4. Step 4: Simplify right side
    29,928x = 4,228,640,784
  5. Step 5: Solve for x
    x = 4,228,640,784/29,928
  6. Step 6: Final answer
    x = 141,293.80

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