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Finding the Third Proportional to 2,526 and 5,856

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Solution

The third proportional to 2,526 and 5,856 is: 13,575.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526 : 5,856 = 5,856 : x
  2. Step 2: Convert to fraction form
    2,526/5,856 = 5,856/x
  3. Step 3: Cross multiply
    2,526x = 5,856 × 5,856
  4. Step 4: Simplify right side
    2,526x = 34,292,736
  5. Step 5: Solve for x
    x = 34,292,736/2,526
  6. Step 6: Final answer
    x = 13,575.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.