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Finding the Third Proportional to 29,664 and 41,472

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Solution

The third proportional to 29,664 and 41,472 is: 57,980.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,664 : 41,472 = 41,472 : x
  2. Step 2: Convert to fraction form
    29,664/41,472 = 41,472/x
  3. Step 3: Cross multiply
    29,664x = 41,472 × 41,472
  4. Step 4: Simplify right side
    29,664x = 1,719,926,784
  5. Step 5: Solve for x
    x = 1,719,926,784/29,664
  6. Step 6: Final answer
    x = 57,980.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.