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Finding the Third Proportional to 18,457 and 27,703

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Solution

The third proportional to 18,457 and 27,703 is: 41,580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,457 : 27,703 = 27,703 : x
  2. Step 2: Convert to fraction form
    18,457/27,703 = 27,703/x
  3. Step 3: Cross multiply
    18,457x = 27,703 × 27,703
  4. Step 4: Simplify right side
    18,457x = 767,456,209
  5. Step 5: Solve for x
    x = 767,456,209/18,457
  6. Step 6: Final answer
    x = 41,580.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.