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Finding the Third Proportional to 2,457 and 5,799

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Solution

The third proportional to 2,457 and 5,799 is: 13,686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457 : 5,799 = 5,799 : x
  2. Step 2: Convert to fraction form
    2,457/5,799 = 5,799/x
  3. Step 3: Cross multiply
    2,457x = 5,799 × 5,799
  4. Step 4: Simplify right side
    2,457x = 33,628,401
  5. Step 5: Solve for x
    x = 33,628,401/2,457
  6. Step 6: Final answer
    x = 13,686.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.