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Finding the Third Proportional to 28,474 and 62,492

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Solution

The third proportional to 28,474 and 62,492 is: 137,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,474 : 62,492 = 62,492 : x
  2. Step 2: Convert to fraction form
    28,474/62,492 = 62,492/x
  3. Step 3: Cross multiply
    28,474x = 62,492 × 62,492
  4. Step 4: Simplify right side
    28,474x = 3,905,250,064
  5. Step 5: Solve for x
    x = 3,905,250,064/28,474
  6. Step 6: Final answer
    x = 137,151.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.