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Finding the Third Proportional to 28,024 and 61,208

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Solution

The third proportional to 28,024 and 61,208 is: 133,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,024 : 61,208 = 61,208 : x
  2. Step 2: Convert to fraction form
    28,024/61,208 = 61,208/x
  3. Step 3: Cross multiply
    28,024x = 61,208 × 61,208
  4. Step 4: Simplify right side
    28,024x = 3,746,419,264
  5. Step 5: Solve for x
    x = 3,746,419,264/28,024
  6. Step 6: Final answer
    x = 133,686.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.