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Finding the Third Proportional to 7,486 and 16,154

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Solution

The third proportional to 7,486 and 16,154 is: 34,858.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486 : 16,154 = 16,154 : x
  2. Step 2: Convert to fraction form
    7,486/16,154 = 16,154/x
  3. Step 3: Cross multiply
    7,486x = 16,154 × 16,154
  4. Step 4: Simplify right side
    7,486x = 260,951,716
  5. Step 5: Solve for x
    x = 260,951,716/7,486
  6. Step 6: Final answer
    x = 34,858.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.