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Finding the Third Proportional to 35,988 and 84,052

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Solution

The third proportional to 35,988 and 84,052 is: 196,308.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,988 : 84,052 = 84,052 : x
  2. Step 2: Convert to fraction form
    35,988/84,052 = 84,052/x
  3. Step 3: Cross multiply
    35,988x = 84,052 × 84,052
  4. Step 4: Simplify right side
    35,988x = 7,064,738,704
  5. Step 5: Solve for x
    x = 7,064,738,704/35,988
  6. Step 6: Final answer
    x = 196,308.18

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.