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Finding the Third Proportional to 21,323.25 and 34,060.50

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Solution

The third proportional to 21,323.25 and 34,060.50 is: 54,406.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,323.25 : 34,060.50 = 34,060.50 : x
  2. Step 2: Convert to fraction form
    21,323.25/34,060.50 = 34,060.50/x
  3. Step 3: Cross multiply
    21,323.25x = 34,060.50 × 34,060.50
  4. Step 4: Simplify right side
    21,323.25x = 1,160,117,660.25
  5. Step 5: Solve for x
    x = 1,160,117,660.25/21,323.25
  6. Step 6: Final answer
    x = 54,406.23

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.