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Finding the Third Proportional to 29,592 and 64,108

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Solution

The third proportional to 29,592 and 64,108 is: 138,883.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,592 : 64,108 = 64,108 : x
  2. Step 2: Convert to fraction form
    29,592/64,108 = 64,108/x
  3. Step 3: Cross multiply
    29,592x = 64,108 × 64,108
  4. Step 4: Simplify right side
    29,592x = 4,109,835,664
  5. Step 5: Solve for x
    x = 4,109,835,664/29,592
  6. Step 6: Final answer
    x = 138,883.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.