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Finding the Third Proportional to 7,846.88 and 17,283.38

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Solution

The third proportional to 7,846.88 and 17,283.38 is: 38,068.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.88 : 17,283.38 = 17,283.38 : x
  2. Step 2: Convert to fraction form
    7,846.88/17,283.38 = 17,283.38/x
  3. Step 3: Cross multiply
    7,846.88x = 17,283.38 × 17,283.38
  4. Step 4: Simplify right side
    7,846.88x = 298,715,051.39
  5. Step 5: Solve for x
    x = 298,715,051.39/7,846.88
  6. Step 6: Final answer
    x = 38,068.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.