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Finding the Third Proportional to 29,600 and 63,412

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Solution

The third proportional to 29,600 and 63,412 is: 135,847.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,600 : 63,412 = 63,412 : x
  2. Step 2: Convert to fraction form
    29,600/63,412 = 63,412/x
  3. Step 3: Cross multiply
    29,600x = 63,412 × 63,412
  4. Step 4: Simplify right side
    29,600x = 4,021,081,744
  5. Step 5: Solve for x
    x = 4,021,081,744/29,600
  6. Step 6: Final answer
    x = 135,847.36

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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.