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Finding the Third Proportional to 7,848 and 11,345

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Solution

The third proportional to 7,848 and 11,345 is: 16,400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848 : 11,345 = 11,345 : x
  2. Step 2: Convert to fraction form
    7,848/11,345 = 11,345/x
  3. Step 3: Cross multiply
    7,848x = 11,345 × 11,345
  4. Step 4: Simplify right side
    7,848x = 128,709,025
  5. Step 5: Solve for x
    x = 128,709,025/7,848
  6. Step 6: Final answer
    x = 16,400.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.