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Finding the Third Proportional to 34,533 and 74,502

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Solution

The third proportional to 34,533 and 74,502 is: 160,731.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,533 : 74,502 = 74,502 : x
  2. Step 2: Convert to fraction form
    34,533/74,502 = 74,502/x
  3. Step 3: Cross multiply
    34,533x = 74,502 × 74,502
  4. Step 4: Simplify right side
    34,533x = 5,550,548,004
  5. Step 5: Solve for x
    x = 5,550,548,004/34,533
  6. Step 6: Final answer
    x = 160,731.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.