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Finding the Third Proportional to 12,301.88 and 19,272.94

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Solution

The third proportional to 12,301.88 and 19,272.94 is: 30,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.88 : 19,272.94 = 19,272.94 : x
  2. Step 2: Convert to fraction form
    12,301.88/19,272.94 = 19,272.94/x
  3. Step 3: Cross multiply
    12,301.88x = 19,272.94 × 19,272.94
  4. Step 4: Simplify right side
    12,301.88x = 371,446,119.88
  5. Step 5: Solve for x
    x = 371,446,119.88/12,301.88
  6. Step 6: Final answer
    x = 30,194.27

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.