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Finding the Third Proportional to 7,740 and 15,892

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Solution

The third proportional to 7,740 and 15,892 is: 32,629.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740 : 15,892 = 15,892 : x
  2. Step 2: Convert to fraction form
    7,740/15,892 = 15,892/x
  3. Step 3: Cross multiply
    7,740x = 15,892 × 15,892
  4. Step 4: Simplify right side
    7,740x = 252,555,664
  5. Step 5: Solve for x
    x = 252,555,664/7,740
  6. Step 6: Final answer
    x = 32,629.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.