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Finding the Third Proportional to 21,789 and 34,816.50

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Solution

The third proportional to 21,789 and 34,816.50 is: 55,633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,789 : 34,816.50 = 34,816.50 : x
  2. Step 2: Convert to fraction form
    21,789/34,816.50 = 34,816.50/x
  3. Step 3: Cross multiply
    21,789x = 34,816.50 × 34,816.50
  4. Step 4: Simplify right side
    21,789x = 1,212,188,672.25
  5. Step 5: Solve for x
    x = 1,212,188,672.25/21,789
  6. Step 6: Final answer
    x = 55,633.06

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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.