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Finding the Third Proportional to 29,913 and 62,923

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Solution

The third proportional to 29,913 and 62,923 is: 132,360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,913 : 62,923 = 62,923 : x
  2. Step 2: Convert to fraction form
    29,913/62,923 = 62,923/x
  3. Step 3: Cross multiply
    29,913x = 62,923 × 62,923
  4. Step 4: Simplify right side
    29,913x = 3,959,303,929
  5. Step 5: Solve for x
    x = 3,959,303,929/29,913
  6. Step 6: Final answer
    x = 132,360.64

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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.