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Finding the Third Proportional to 13,045 and 27,937

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Solution

The third proportional to 13,045 and 27,937 is: 59,829.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,045 : 27,937 = 27,937 : x
  2. Step 2: Convert to fraction form
    13,045/27,937 = 27,937/x
  3. Step 3: Cross multiply
    13,045x = 27,937 × 27,937
  4. Step 4: Simplify right side
    13,045x = 780,475,969
  5. Step 5: Solve for x
    x = 780,475,969/13,045
  6. Step 6: Final answer
    x = 59,829.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.