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Finding the Third Proportional to 12,746.25 and 18,744.19

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Solution

The third proportional to 12,746.25 and 18,744.19 is: 27,564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,746.25 : 18,744.19 = 18,744.19 : x
  2. Step 2: Convert to fraction form
    12,746.25/18,744.19 = 18,744.19/x
  3. Step 3: Cross multiply
    12,746.25x = 18,744.19 × 18,744.19
  4. Step 4: Simplify right side
    12,746.25x = 351,344,565.04
  5. Step 5: Solve for x
    x = 351,344,565.04/12,746.25
  6. Step 6: Final answer
    x = 27,564.54

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.