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Finding the Third Proportional to 28,492 and 62,820

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Solution

The third proportional to 28,492 and 62,820 is: 138,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,492 : 62,820 = 62,820 : x
  2. Step 2: Convert to fraction form
    28,492/62,820 = 62,820/x
  3. Step 3: Cross multiply
    28,492x = 62,820 × 62,820
  4. Step 4: Simplify right side
    28,492x = 3,946,352,400
  5. Step 5: Solve for x
    x = 3,946,352,400/28,492
  6. Step 6: Final answer
    x = 138,507.38

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