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Finding the Third Proportional to 30,328 and 44,501

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Solution

The third proportional to 30,328 and 44,501 is: 65,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,328 : 44,501 = 44,501 : x
  2. Step 2: Convert to fraction form
    30,328/44,501 = 44,501/x
  3. Step 3: Cross multiply
    30,328x = 44,501 × 44,501
  4. Step 4: Simplify right side
    30,328x = 1,980,339,001
  5. Step 5: Solve for x
    x = 1,980,339,001/30,328
  6. Step 6: Final answer
    x = 65,297.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.