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Finding the Third Proportional to 21,641.63 and 33,829.31

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Solution

The third proportional to 21,641.63 and 33,829.31 is: 52,880.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,641.63 : 33,829.31 = 33,829.31 : x
  2. Step 2: Convert to fraction form
    21,641.63/33,829.31 = 33,829.31/x
  3. Step 3: Cross multiply
    21,641.63x = 33,829.31 × 33,829.31
  4. Step 4: Simplify right side
    21,641.63x = 1,144,422,384.22
  5. Step 5: Solve for x
    x = 1,144,422,384.22/21,641.63
  6. Step 6: Final answer
    x = 52,880.61

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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.