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Finding the Third Proportional to 10,010.25 and 21,782.25

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Solution

The third proportional to 10,010.25 and 21,782.25 is: 47,398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.25 : 21,782.25 = 21,782.25 : x
  2. Step 2: Convert to fraction form
    10,010.25/21,782.25 = 21,782.25/x
  3. Step 3: Cross multiply
    10,010.25x = 21,782.25 × 21,782.25
  4. Step 4: Simplify right side
    10,010.25x = 474,466,415.06
  5. Step 5: Solve for x
    x = 474,466,415.06/10,010.25
  6. Step 6: Final answer
    x = 47,398.06

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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.