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Finding the Third Proportional to 17,637.75 and 26,454.38

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Solution

The third proportional to 17,637.75 and 26,454.38 is: 39,678.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,637.75 : 26,454.38 = 26,454.38 : x
  2. Step 2: Convert to fraction form
    17,637.75/26,454.38 = 26,454.38/x
  3. Step 3: Cross multiply
    17,637.75x = 26,454.38 × 26,454.38
  4. Step 4: Simplify right side
    17,637.75x = 699,833,956.64
  5. Step 5: Solve for x
    x = 699,833,956.64/17,637.75
  6. Step 6: Final answer
    x = 39,678.19

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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.