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Finding the Third Proportional to 29,664 and 64,800

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Solution

The third proportional to 29,664 and 64,800 is: 141,553.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,664 : 64,800 = 64,800 : x
  2. Step 2: Convert to fraction form
    29,664/64,800 = 64,800/x
  3. Step 3: Cross multiply
    29,664x = 64,800 × 64,800
  4. Step 4: Simplify right side
    29,664x = 4,199,040,000
  5. Step 5: Solve for x
    x = 4,199,040,000/29,664
  6. Step 6: Final answer
    x = 141,553.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.