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Finding the Third Proportional to 12,537.28 and 19,052.72

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Solution

The third proportional to 12,537.28 and 19,052.72 is: 28,954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.28 : 19,052.72 = 19,052.72 : x
  2. Step 2: Convert to fraction form
    12,537.28/19,052.72 = 19,052.72/x
  3. Step 3: Cross multiply
    12,537.28x = 19,052.72 × 19,052.72
  4. Step 4: Simplify right side
    12,537.28x = 363,006,091.77
  5. Step 5: Solve for x
    x = 363,006,091.77/12,537.28
  6. Step 6: Final answer
    x = 28,954.13

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.