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Finding the Third Proportional to 10,231.31 and 21,328.31

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Solution

The third proportional to 10,231.31 and 21,328.31 is: 44,461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.31 : 21,328.31 = 21,328.31 : x
  2. Step 2: Convert to fraction form
    10,231.31/21,328.31 = 21,328.31/x
  3. Step 3: Cross multiply
    10,231.31x = 21,328.31 × 21,328.31
  4. Step 4: Simplify right side
    10,231.31x = 454,896,914.10
  5. Step 5: Solve for x
    x = 454,896,914.10/10,231.31
  6. Step 6: Final answer
    x = 44,461.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.