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Finding the Third Proportional to 35,330 and 72,483

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Solution

The third proportional to 35,330 and 72,483 is: 148,706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,330 : 72,483 = 72,483 : x
  2. Step 2: Convert to fraction form
    35,330/72,483 = 72,483/x
  3. Step 3: Cross multiply
    35,330x = 72,483 × 72,483
  4. Step 4: Simplify right side
    35,330x = 5,253,785,289
  5. Step 5: Solve for x
    x = 5,253,785,289/35,330
  6. Step 6: Final answer
    x = 148,706.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.