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Finding the Third Proportional to 7,848 and 17,154

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Solution

The third proportional to 7,848 and 17,154 is: 37,494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848 : 17,154 = 17,154 : x
  2. Step 2: Convert to fraction form
    7,848/17,154 = 17,154/x
  3. Step 3: Cross multiply
    7,848x = 17,154 × 17,154
  4. Step 4: Simplify right side
    7,848x = 294,259,716
  5. Step 5: Solve for x
    x = 294,259,716/7,848
  6. Step 6: Final answer
    x = 37,494.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.