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Finding the Third Proportional to 15,944.25 and 21,429.75

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Solution

The third proportional to 15,944.25 and 21,429.75 is: 28,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,944.25 : 21,429.75 = 21,429.75 : x
  2. Step 2: Convert to fraction form
    15,944.25/21,429.75 = 21,429.75/x
  3. Step 3: Cross multiply
    15,944.25x = 21,429.75 × 21,429.75
  4. Step 4: Simplify right side
    15,944.25x = 459,234,185.06
  5. Step 5: Solve for x
    x = 459,234,185.06/15,944.25
  6. Step 6: Final answer
    x = 28,802.50

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.