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Finding the Third Proportional to 29,592 and 65,742

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Solution

The third proportional to 29,592 and 65,742 is: 146,053.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,592 : 65,742 = 65,742 : x
  2. Step 2: Convert to fraction form
    29,592/65,742 = 65,742/x
  3. Step 3: Cross multiply
    29,592x = 65,742 × 65,742
  4. Step 4: Simplify right side
    29,592x = 4,322,010,564
  5. Step 5: Solve for x
    x = 4,322,010,564/29,592
  6. Step 6: Final answer
    x = 146,053.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.