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Finding the Third Proportional to 29,976 and 63,036

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Solution

The third proportional to 29,976 and 63,036 is: 132,557.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,976 : 63,036 = 63,036 : x
  2. Step 2: Convert to fraction form
    29,976/63,036 = 63,036/x
  3. Step 3: Cross multiply
    29,976x = 63,036 × 63,036
  4. Step 4: Simplify right side
    29,976x = 3,973,537,296
  5. Step 5: Solve for x
    x = 3,973,537,296/29,976
  6. Step 6: Final answer
    x = 132,557.29

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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.