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Finding the Third Proportional to 7,330.88 and 17,288.44

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Solution

The third proportional to 7,330.88 and 17,288.44 is: 40,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,330.88 : 17,288.44 = 17,288.44 : x
  2. Step 2: Convert to fraction form
    7,330.88/17,288.44 = 17,288.44/x
  3. Step 3: Cross multiply
    7,330.88x = 17,288.44 × 17,288.44
  4. Step 4: Simplify right side
    7,330.88x = 298,890,071.19
  5. Step 5: Solve for x
    x = 298,890,071.19/7,330.88
  6. Step 6: Final answer
    x = 40,771.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.