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Finding the Third Proportional to 35,984 and 75,608

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Solution

The third proportional to 35,984 and 75,608 is: 158,864.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,984 : 75,608 = 75,608 : x
  2. Step 2: Convert to fraction form
    35,984/75,608 = 75,608/x
  3. Step 3: Cross multiply
    35,984x = 75,608 × 75,608
  4. Step 4: Simplify right side
    35,984x = 5,716,569,664
  5. Step 5: Solve for x
    x = 5,716,569,664/35,984
  6. Step 6: Final answer
    x = 158,864.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.