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Finding the Third Proportional to 29,914 and 63,715

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Solution

The third proportional to 29,914 and 63,715 is: 135,709.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,914 : 63,715 = 63,715 : x
  2. Step 2: Convert to fraction form
    29,914/63,715 = 63,715/x
  3. Step 3: Cross multiply
    29,914x = 63,715 × 63,715
  4. Step 4: Simplify right side
    29,914x = 4,059,601,225
  5. Step 5: Solve for x
    x = 4,059,601,225/29,914
  6. Step 6: Final answer
    x = 135,709.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.