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Finding the Third Proportional to 29,948 and 43,664

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Solution

The third proportional to 29,948 and 43,664 is: 63,661.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,948 : 43,664 = 43,664 : x
  2. Step 2: Convert to fraction form
    29,948/43,664 = 43,664/x
  3. Step 3: Cross multiply
    29,948x = 43,664 × 43,664
  4. Step 4: Simplify right side
    29,948x = 1,906,544,896
  5. Step 5: Solve for x
    x = 1,906,544,896/29,948
  6. Step 6: Final answer
    x = 63,661.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.