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Finding the Third Proportional to 13,483.31 and 21,105.19

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Solution

The third proportional to 13,483.31 and 21,105.19 is: 33,035.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,483.31 : 21,105.19 = 21,105.19 : x
  2. Step 2: Convert to fraction form
    13,483.31/21,105.19 = 21,105.19/x
  3. Step 3: Cross multiply
    13,483.31x = 21,105.19 × 21,105.19
  4. Step 4: Simplify right side
    13,483.31x = 445,428,939.41
  5. Step 5: Solve for x
    x = 445,428,939.41/13,483.31
  6. Step 6: Final answer
    x = 33,035.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.