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Finding the Third Proportional to 12,788.75 and 27,354.25

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Solution

The third proportional to 12,788.75 and 27,354.25 is: 58,508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788.75 : 27,354.25 = 27,354.25 : x
  2. Step 2: Convert to fraction form
    12,788.75/27,354.25 = 27,354.25/x
  3. Step 3: Cross multiply
    12,788.75x = 27,354.25 × 27,354.25
  4. Step 4: Simplify right side
    12,788.75x = 748,254,993.06
  5. Step 5: Solve for x
    x = 748,254,993.06/12,788.75
  6. Step 6: Final answer
    x = 58,508.85

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.