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Finding the Third Proportional to 18,807 and 27,562

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Solution

The third proportional to 18,807 and 27,562 is: 40,392.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,807 : 27,562 = 27,562 : x
  2. Step 2: Convert to fraction form
    18,807/27,562 = 27,562/x
  3. Step 3: Cross multiply
    18,807x = 27,562 × 27,562
  4. Step 4: Simplify right side
    18,807x = 759,663,844
  5. Step 5: Solve for x
    x = 759,663,844/18,807
  6. Step 6: Final answer
    x = 40,392.61

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Why These Related Problems?

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