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Finding the Third Proportional to 7,396.31 and 15,830.44

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Solution

The third proportional to 7,396.31 and 15,830.44 is: 33,882.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,396.31 : 15,830.44 = 15,830.44 : x
  2. Step 2: Convert to fraction form
    7,396.31/15,830.44 = 15,830.44/x
  3. Step 3: Cross multiply
    7,396.31x = 15,830.44 × 15,830.44
  4. Step 4: Simplify right side
    7,396.31x = 250,602,751.44
  5. Step 5: Solve for x
    x = 250,602,751.44/7,396.31
  6. Step 6: Final answer
    x = 33,882.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.