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Finding the Third Proportional to 9,450 and 14,281.31

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Solution

The third proportional to 9,450 and 14,281.31 is: 21,582.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,450 : 14,281.31 = 14,281.31 : x
  2. Step 2: Convert to fraction form
    9,450/14,281.31 = 14,281.31/x
  3. Step 3: Cross multiply
    9,450x = 14,281.31 × 14,281.31
  4. Step 4: Simplify right side
    9,450x = 203,955,886.72
  5. Step 5: Solve for x
    x = 203,955,886.72/9,450
  6. Step 6: Final answer
    x = 21,582.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.