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Finding the Third Proportional to 12,714.38 and 19,164.38

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Solution

The third proportional to 12,714.38 and 19,164.38 is: 28,886.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.38 : 19,164.38 = 19,164.38 : x
  2. Step 2: Convert to fraction form
    12,714.38/19,164.38 = 19,164.38/x
  3. Step 3: Cross multiply
    12,714.38x = 19,164.38 × 19,164.38
  4. Step 4: Simplify right side
    12,714.38x = 367,273,269.14
  5. Step 5: Solve for x
    x = 367,273,269.14/12,714.38
  6. Step 6: Final answer
    x = 28,886.46

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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.