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Finding the Third Proportional to 9,466.88 and 14,331.38

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Solution

The third proportional to 9,466.88 and 14,331.38 is: 21,695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.88 : 14,331.38 = 14,331.38 : x
  2. Step 2: Convert to fraction form
    9,466.88/14,331.38 = 14,331.38/x
  3. Step 3: Cross multiply
    9,466.88x = 14,331.38 × 14,331.38
  4. Step 4: Simplify right side
    9,466.88x = 205,388,309.39
  5. Step 5: Solve for x
    x = 205,388,309.39/9,466.88
  6. Step 6: Final answer
    x = 21,695.47

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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.