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Finding the Third Proportional to 29,567 and 64,615

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Solution

The third proportional to 29,567 and 64,615 is: 141,208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,567 : 64,615 = 64,615 : x
  2. Step 2: Convert to fraction form
    29,567/64,615 = 64,615/x
  3. Step 3: Cross multiply
    29,567x = 64,615 × 64,615
  4. Step 4: Simplify right side
    29,567x = 4,175,098,225
  5. Step 5: Solve for x
    x = 4,175,098,225/29,567
  6. Step 6: Final answer
    x = 141,208.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.