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Finding the Third Proportional to 29,532 and 63,162

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Solution

The third proportional to 29,532 and 63,162 is: 135,088.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,532 : 63,162 = 63,162 : x
  2. Step 2: Convert to fraction form
    29,532/63,162 = 63,162/x
  3. Step 3: Cross multiply
    29,532x = 63,162 × 63,162
  4. Step 4: Simplify right side
    29,532x = 3,989,438,244
  5. Step 5: Solve for x
    x = 3,989,438,244/29,532
  6. Step 6: Final answer
    x = 135,088.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.