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Finding the Third Proportional to 12,773.25 and 21,108.38

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Solution

The third proportional to 12,773.25 and 21,108.38 is: 34,882.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.25 : 21,108.38 = 21,108.38 : x
  2. Step 2: Convert to fraction form
    12,773.25/21,108.38 = 21,108.38/x
  3. Step 3: Cross multiply
    12,773.25x = 21,108.38 × 21,108.38
  4. Step 4: Simplify right side
    12,773.25x = 445,563,495.14
  5. Step 5: Solve for x
    x = 445,563,495.14/12,773.25
  6. Step 6: Final answer
    x = 34,882.55

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.