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Finding the Third Proportional to 9,538.31 and 14,768.44

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Solution

The third proportional to 9,538.31 and 14,768.44 is: 22,866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.31 : 14,768.44 = 14,768.44 : x
  2. Step 2: Convert to fraction form
    9,538.31/14,768.44 = 14,768.44/x
  3. Step 3: Cross multiply
    9,538.31x = 14,768.44 × 14,768.44
  4. Step 4: Simplify right side
    9,538.31x = 218,106,746.19
  5. Step 5: Solve for x
    x = 218,106,746.19/9,538.31
  6. Step 6: Final answer
    x = 22,866.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.