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Finding the Third Proportional to 28,492 and 62,702

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Solution

The third proportional to 28,492 and 62,702 is: 137,987.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,492 : 62,702 = 62,702 : x
  2. Step 2: Convert to fraction form
    28,492/62,702 = 62,702/x
  3. Step 3: Cross multiply
    28,492x = 62,702 × 62,702
  4. Step 4: Simplify right side
    28,492x = 3,931,540,804
  5. Step 5: Solve for x
    x = 3,931,540,804/28,492
  6. Step 6: Final answer
    x = 137,987.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.