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Finding the Third Proportional to 35,984 and 75,880

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Solution

The third proportional to 35,984 and 75,880 is: 160,009.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,984 : 75,880 = 75,880 : x
  2. Step 2: Convert to fraction form
    35,984/75,880 = 75,880/x
  3. Step 3: Cross multiply
    35,984x = 75,880 × 75,880
  4. Step 4: Simplify right side
    35,984x = 5,757,774,400
  5. Step 5: Solve for x
    x = 5,757,774,400/35,984
  6. Step 6: Final answer
    x = 160,009.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.