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Finding the Third Proportional to 45,504 and 65,328

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Solution

The third proportional to 45,504 and 65,328 is: 93,788.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,504 : 65,328 = 65,328 : x
  2. Step 2: Convert to fraction form
    45,504/65,328 = 65,328/x
  3. Step 3: Cross multiply
    45,504x = 65,328 × 65,328
  4. Step 4: Simplify right side
    45,504x = 4,267,747,584
  5. Step 5: Solve for x
    x = 4,267,747,584/45,504
  6. Step 6: Final answer
    x = 93,788.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.