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Finding the Third Proportional to 9,497.25 and 14,743.69

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Solution

The third proportional to 9,497.25 and 14,743.69 is: 22,888.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.25 : 14,743.69 = 14,743.69 : x
  2. Step 2: Convert to fraction form
    9,497.25/14,743.69 = 14,743.69/x
  3. Step 3: Cross multiply
    9,497.25x = 14,743.69 × 14,743.69
  4. Step 4: Simplify right side
    9,497.25x = 217,376,321.10
  5. Step 5: Solve for x
    x = 217,376,321.10/9,497.25
  6. Step 6: Final answer
    x = 22,888.34

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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.