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Finding the Third Proportional to 21,152.39 and 32,394.94

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Solution

The third proportional to 21,152.39 and 32,394.94 is: 49,612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,152.39 : 32,394.94 = 32,394.94 : x
  2. Step 2: Convert to fraction form
    21,152.39/32,394.94 = 32,394.94/x
  3. Step 3: Cross multiply
    21,152.39x = 32,394.94 × 32,394.94
  4. Step 4: Simplify right side
    21,152.39x = 1,049,431,975.63
  5. Step 5: Solve for x
    x = 1,049,431,975.63/21,152.39
  6. Step 6: Final answer
    x = 49,612.93

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.