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Finding the Third Proportional to 12,941.44 and 19,514.25

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Solution

The third proportional to 12,941.44 and 19,514.25 is: 29,425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,941.44 : 19,514.25 = 19,514.25 : x
  2. Step 2: Convert to fraction form
    12,941.44/19,514.25 = 19,514.25/x
  3. Step 3: Cross multiply
    12,941.44x = 19,514.25 × 19,514.25
  4. Step 4: Simplify right side
    12,941.44x = 380,805,953.06
  5. Step 5: Solve for x
    x = 380,805,953.06/12,941.44
  6. Step 6: Final answer
    x = 29,425.32

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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.