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Finding the Third Proportional to 29,472 and 44,328

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Solution

The third proportional to 29,472 and 44,328 is: 66,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,472 : 44,328 = 44,328 : x
  2. Step 2: Convert to fraction form
    29,472/44,328 = 44,328/x
  3. Step 3: Cross multiply
    29,472x = 44,328 × 44,328
  4. Step 4: Simplify right side
    29,472x = 1,964,971,584
  5. Step 5: Solve for x
    x = 1,964,971,584/29,472
  6. Step 6: Final answer
    x = 66,672.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.