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Finding the Third Proportional to 21,269.25 and 33,098.63

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Solution

The third proportional to 21,269.25 and 33,098.63 is: 51,507.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,269.25 : 33,098.63 = 33,098.63 : x
  2. Step 2: Convert to fraction form
    21,269.25/33,098.63 = 33,098.63/x
  3. Step 3: Cross multiply
    21,269.25x = 33,098.63 × 33,098.63
  4. Step 4: Simplify right side
    21,269.25x = 1,095,518,976.89
  5. Step 5: Solve for x
    x = 1,095,518,976.89/21,269.25
  6. Step 6: Final answer
    x = 51,507.17

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.