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Finding the Third Proportional to 19,672.88 and 29,696.44

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Solution

The third proportional to 19,672.88 and 29,696.44 is: 44,827.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672.88 : 29,696.44 = 29,696.44 : x
  2. Step 2: Convert to fraction form
    19,672.88/29,696.44 = 29,696.44/x
  3. Step 3: Cross multiply
    19,672.88x = 29,696.44 × 29,696.44
  4. Step 4: Simplify right side
    19,672.88x = 881,878,400.19
  5. Step 5: Solve for x
    x = 881,878,400.19/19,672.88
  6. Step 6: Final answer
    x = 44,827.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.