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Finding the Third Proportional to 35,589 and 75,570

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Solution

The third proportional to 35,589 and 75,570 is: 160,466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,589 : 75,570 = 75,570 : x
  2. Step 2: Convert to fraction form
    35,589/75,570 = 75,570/x
  3. Step 3: Cross multiply
    35,589x = 75,570 × 75,570
  4. Step 4: Simplify right side
    35,589x = 5,710,824,900
  5. Step 5: Solve for x
    x = 5,710,824,900/35,589
  6. Step 6: Final answer
    x = 160,466.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.