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Finding the Third Proportional to 29,896 and 65,623

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Solution

The third proportional to 29,896 and 65,623 is: 144,045.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,896 : 65,623 = 65,623 : x
  2. Step 2: Convert to fraction form
    29,896/65,623 = 65,623/x
  3. Step 3: Cross multiply
    29,896x = 65,623 × 65,623
  4. Step 4: Simplify right side
    29,896x = 4,306,378,129
  5. Step 5: Solve for x
    x = 4,306,378,129/29,896
  6. Step 6: Final answer
    x = 144,045.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.