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Finding the Third Proportional to 2,407 and 5,855

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Solution

The third proportional to 2,407 and 5,855 is: 14,242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407 : 5,855 = 5,855 : x
  2. Step 2: Convert to fraction form
    2,407/5,855 = 5,855/x
  3. Step 3: Cross multiply
    2,407x = 5,855 × 5,855
  4. Step 4: Simplify right side
    2,407x = 34,281,025
  5. Step 5: Solve for x
    x = 34,281,025/2,407
  6. Step 6: Final answer
    x = 14,242.22

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.