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Finding the Third Proportional to 10,383.75 and 22,290.75

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Solution

The third proportional to 10,383.75 and 22,290.75 is: 47,851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.75 : 22,290.75 = 22,290.75 : x
  2. Step 2: Convert to fraction form
    10,383.75/22,290.75 = 22,290.75/x
  3. Step 3: Cross multiply
    10,383.75x = 22,290.75 × 22,290.75
  4. Step 4: Simplify right side
    10,383.75x = 496,877,535.56
  5. Step 5: Solve for x
    x = 496,877,535.56/10,383.75
  6. Step 6: Final answer
    x = 47,851.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.