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Finding the Third Proportional to 7,954.45 and 11,698.17

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Solution

The third proportional to 7,954.45 and 11,698.17 is: 17,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.45 : 11,698.17 = 11,698.17 : x
  2. Step 2: Convert to fraction form
    7,954.45/11,698.17 = 11,698.17/x
  3. Step 3: Cross multiply
    7,954.45x = 11,698.17 × 11,698.17
  4. Step 4: Simplify right side
    7,954.45x = 136,847,225.22
  5. Step 5: Solve for x
    x = 136,847,225.22/7,954.45
  6. Step 6: Final answer
    x = 17,203.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.