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Finding the Third Proportional to 29,664 and 45,916

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Solution

The third proportional to 29,664 and 45,916 is: 71,071.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,664 : 45,916 = 45,916 : x
  2. Step 2: Convert to fraction form
    29,664/45,916 = 45,916/x
  3. Step 3: Cross multiply
    29,664x = 45,916 × 45,916
  4. Step 4: Simplify right side
    29,664x = 2,108,279,056
  5. Step 5: Solve for x
    x = 2,108,279,056/29,664
  6. Step 6: Final answer
    x = 71,071.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.