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Finding the Third Proportional to 7,725.38 and 10,170.56

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Solution

The third proportional to 7,725.38 and 10,170.56 is: 13,389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.38 : 10,170.56 = 10,170.56 : x
  2. Step 2: Convert to fraction form
    7,725.38/10,170.56 = 10,170.56/x
  3. Step 3: Cross multiply
    7,725.38x = 10,170.56 × 10,170.56
  4. Step 4: Simplify right side
    7,725.38x = 103,440,341.57
  5. Step 5: Solve for x
    x = 103,440,341.57/7,725.38
  6. Step 6: Final answer
    x = 13,389.69

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.