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Finding the Third Proportional to 45,384 and 60,492

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Solution

The third proportional to 45,384 and 60,492 is: 80,629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,384 : 60,492 = 60,492 : x
  2. Step 2: Convert to fraction form
    45,384/60,492 = 60,492/x
  3. Step 3: Cross multiply
    45,384x = 60,492 × 60,492
  4. Step 4: Simplify right side
    45,384x = 3,659,282,064
  5. Step 5: Solve for x
    x = 3,659,282,064/45,384
  6. Step 6: Final answer
    x = 80,629.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.