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Finding the Third Proportional to 9,574.31 and 14,559.19

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Solution

The third proportional to 9,574.31 and 14,559.19 is: 22,139.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.31 : 14,559.19 = 14,559.19 : x
  2. Step 2: Convert to fraction form
    9,574.31/14,559.19 = 14,559.19/x
  3. Step 3: Cross multiply
    9,574.31x = 14,559.19 × 14,559.19
  4. Step 4: Simplify right side
    9,574.31x = 211,969,940.66
  5. Step 5: Solve for x
    x = 211,969,940.66/9,574.31
  6. Step 6: Final answer
    x = 22,139.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.