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Finding the Third Proportional to 5,141 and 7,429

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Solution

The third proportional to 5,141 and 7,429 is: 10,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141 : 7,429 = 7,429 : x
  2. Step 2: Convert to fraction form
    5,141/7,429 = 7,429/x
  3. Step 3: Cross multiply
    5,141x = 7,429 × 7,429
  4. Step 4: Simplify right side
    5,141x = 55,190,041
  5. Step 5: Solve for x
    x = 55,190,041/5,141
  6. Step 6: Final answer
    x = 10,735.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.