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Finding the Third Proportional to 10,478 and 21,259.75

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Solution

The third proportional to 10,478 and 21,259.75 is: 43,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478 : 21,259.75 = 21,259.75 : x
  2. Step 2: Convert to fraction form
    10,478/21,259.75 = 21,259.75/x
  3. Step 3: Cross multiply
    10,478x = 21,259.75 × 21,259.75
  4. Step 4: Simplify right side
    10,478x = 451,976,970.06
  5. Step 5: Solve for x
    x = 451,976,970.06/10,478
  6. Step 6: Final answer
    x = 43,135.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.