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Finding the Third Proportional to 29,844 and 62,760

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Solution

The third proportional to 29,844 and 62,760 is: 131,980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,844 : 62,760 = 62,760 : x
  2. Step 2: Convert to fraction form
    29,844/62,760 = 62,760/x
  3. Step 3: Cross multiply
    29,844x = 62,760 × 62,760
  4. Step 4: Simplify right side
    29,844x = 3,938,817,600
  5. Step 5: Solve for x
    x = 3,938,817,600/29,844
  6. Step 6: Final answer
    x = 131,980.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.