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Finding the Third Proportional to 7,486 and 15,404

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Solution

The third proportional to 7,486 and 15,404 is: 31,696.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486 : 15,404 = 15,404 : x
  2. Step 2: Convert to fraction form
    7,486/15,404 = 15,404/x
  3. Step 3: Cross multiply
    7,486x = 15,404 × 15,404
  4. Step 4: Simplify right side
    7,486x = 237,283,216
  5. Step 5: Solve for x
    x = 237,283,216/7,486
  6. Step 6: Final answer
    x = 31,696.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.