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Finding the Third Proportional to 7,674.75 and 12,948.19

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Solution

The third proportional to 7,674.75 and 12,948.19 is: 21,845.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.75 : 12,948.19 = 12,948.19 : x
  2. Step 2: Convert to fraction form
    7,674.75/12,948.19 = 12,948.19/x
  3. Step 3: Cross multiply
    7,674.75x = 12,948.19 × 12,948.19
  4. Step 4: Simplify right side
    7,674.75x = 167,655,559.54
  5. Step 5: Solve for x
    x = 167,655,559.54/7,674.75
  6. Step 6: Final answer
    x = 21,845.08

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These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.