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Finding the Third Proportional to 29,092 and 62,827

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Solution

The third proportional to 29,092 and 62,827 is: 135,681.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,092 : 62,827 = 62,827 : x
  2. Step 2: Convert to fraction form
    29,092/62,827 = 62,827/x
  3. Step 3: Cross multiply
    29,092x = 62,827 × 62,827
  4. Step 4: Simplify right side
    29,092x = 3,947,231,929
  5. Step 5: Solve for x
    x = 3,947,231,929/29,092
  6. Step 6: Final answer
    x = 135,681.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.