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Finding the Third Proportional to 36,474 and 59,553

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Solution

The third proportional to 36,474 and 59,553 is: 97,235.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,474 : 59,553 = 59,553 : x
  2. Step 2: Convert to fraction form
    36,474/59,553 = 59,553/x
  3. Step 3: Cross multiply
    36,474x = 59,553 × 59,553
  4. Step 4: Simplify right side
    36,474x = 3,546,559,809
  5. Step 5: Solve for x
    x = 3,546,559,809/36,474
  6. Step 6: Final answer
    x = 97,235.29

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.