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Finding the Third Proportional to 42,956 and 65,028

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Solution

The third proportional to 42,956 and 65,028 is: 98,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,956 : 65,028 = 65,028 : x
  2. Step 2: Convert to fraction form
    42,956/65,028 = 65,028/x
  3. Step 3: Cross multiply
    42,956x = 65,028 × 65,028
  4. Step 4: Simplify right side
    42,956x = 4,228,640,784
  5. Step 5: Solve for x
    x = 4,228,640,784/42,956
  6. Step 6: Final answer
    x = 98,441.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.