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Finding the Third Proportional to 1,513 and 2,141

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Solution

The third proportional to 1,513 and 2,141 is: 3,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513 : 2,141 = 2,141 : x
  2. Step 2: Convert to fraction form
    1,513/2,141 = 2,141/x
  3. Step 3: Cross multiply
    1,513x = 2,141 × 2,141
  4. Step 4: Simplify right side
    1,513x = 4,583,881
  5. Step 5: Solve for x
    x = 4,583,881/1,513
  6. Step 6: Final answer
    x = 3,029.66

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.