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Finding the Third Proportional to 7,287.75 and 15,636.94

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Solution

The third proportional to 7,287.75 and 15,636.94 is: 33,551.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.75 : 15,636.94 = 15,636.94 : x
  2. Step 2: Convert to fraction form
    7,287.75/15,636.94 = 15,636.94/x
  3. Step 3: Cross multiply
    7,287.75x = 15,636.94 × 15,636.94
  4. Step 4: Simplify right side
    7,287.75x = 244,513,814.38
  5. Step 5: Solve for x
    x = 244,513,814.38/7,287.75
  6. Step 6: Final answer
    x = 33,551.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.