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Finding the Third Proportional to 17,856.75 and 38,888.25

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Solution

The third proportional to 17,856.75 and 38,888.25 is: 84,690.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.75 : 38,888.25 = 38,888.25 : x
  2. Step 2: Convert to fraction form
    17,856.75/38,888.25 = 38,888.25/x
  3. Step 3: Cross multiply
    17,856.75x = 38,888.25 × 38,888.25
  4. Step 4: Simplify right side
    17,856.75x = 1,512,295,988.06
  5. Step 5: Solve for x
    x = 1,512,295,988.06/17,856.75
  6. Step 6: Final answer
    x = 84,690.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.