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Finding the Third Proportional to 11,402 and 17,703

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Solution

The third proportional to 11,402 and 17,703 is: 27,486.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402 : 17,703 = 17,703 : x
  2. Step 2: Convert to fraction form
    11,402/17,703 = 17,703/x
  3. Step 3: Cross multiply
    11,402x = 17,703 × 17,703
  4. Step 4: Simplify right side
    11,402x = 313,396,209
  5. Step 5: Solve for x
    x = 313,396,209/11,402
  6. Step 6: Final answer
    x = 27,486.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.