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Finding the Third Proportional to 10,388.25 and 21,389.06

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Solution

The third proportional to 10,388.25 and 21,389.06 is: 44,039.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.25 : 21,389.06 = 21,389.06 : x
  2. Step 2: Convert to fraction form
    10,388.25/21,389.06 = 21,389.06/x
  3. Step 3: Cross multiply
    10,388.25x = 21,389.06 × 21,389.06
  4. Step 4: Simplify right side
    10,388.25x = 457,491,994.63
  5. Step 5: Solve for x
    x = 457,491,994.63/10,388.25
  6. Step 6: Final answer
    x = 44,039.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.