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Finding the Third Proportional to 21,525.75 and 42,079.50

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Solution

The third proportional to 21,525.75 and 42,079.50 is: 82,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,525.75 : 42,079.50 = 42,079.50 : x
  2. Step 2: Convert to fraction form
    21,525.75/42,079.50 = 42,079.50/x
  3. Step 3: Cross multiply
    21,525.75x = 42,079.50 × 42,079.50
  4. Step 4: Simplify right side
    21,525.75x = 1,770,684,320.25
  5. Step 5: Solve for x
    x = 1,770,684,320.25/21,525.75
  6. Step 6: Final answer
    x = 82,258.89

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.