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Finding the Third Proportional to 29,932 and 63,018

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Solution

The third proportional to 29,932 and 63,018 is: 132,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,932 : 63,018 = 63,018 : x
  2. Step 2: Convert to fraction form
    29,932/63,018 = 63,018/x
  3. Step 3: Cross multiply
    29,932x = 63,018 × 63,018
  4. Step 4: Simplify right side
    29,932x = 3,971,268,324
  5. Step 5: Solve for x
    x = 3,971,268,324/29,932
  6. Step 6: Final answer
    x = 132,676.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.