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Finding the Third Proportional to 9,555 and 13,456.50

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Solution

The third proportional to 9,555 and 13,456.50 is: 18,951.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,555 : 13,456.50 = 13,456.50 : x
  2. Step 2: Convert to fraction form
    9,555/13,456.50 = 13,456.50/x
  3. Step 3: Cross multiply
    9,555x = 13,456.50 × 13,456.50
  4. Step 4: Simplify right side
    9,555x = 181,077,392.25
  5. Step 5: Solve for x
    x = 181,077,392.25/9,555
  6. Step 6: Final answer
    x = 18,951.06

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.