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Finding the Third Proportional to 45,024 and 83,622

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Solution

The third proportional to 45,024 and 83,622 is: 155,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,024 : 83,622 = 83,622 : x
  2. Step 2: Convert to fraction form
    45,024/83,622 = 83,622/x
  3. Step 3: Cross multiply
    45,024x = 83,622 × 83,622
  4. Step 4: Simplify right side
    45,024x = 6,992,638,884
  5. Step 5: Solve for x
    x = 6,992,638,884/45,024
  6. Step 6: Final answer
    x = 155,309.14

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.