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Finding the Third Proportional to 2,610 and 6,044

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Solution

The third proportional to 2,610 and 6,044 is: 13,996.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610 : 6,044 = 6,044 : x
  2. Step 2: Convert to fraction form
    2,610/6,044 = 6,044/x
  3. Step 3: Cross multiply
    2,610x = 6,044 × 6,044
  4. Step 4: Simplify right side
    2,610x = 36,529,936
  5. Step 5: Solve for x
    x = 36,529,936/2,610
  6. Step 6: Final answer
    x = 13,996.14

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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.