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Finding the Third Proportional to 2,562 and 6,133

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Solution

The third proportional to 2,562 and 6,133 is: 14,681.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562 : 6,133 = 6,133 : x
  2. Step 2: Convert to fraction form
    2,562/6,133 = 6,133/x
  3. Step 3: Cross multiply
    2,562x = 6,133 × 6,133
  4. Step 4: Simplify right side
    2,562x = 37,613,689
  5. Step 5: Solve for x
    x = 37,613,689/2,562
  6. Step 6: Final answer
    x = 14,681.38

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.