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Finding the Third Proportional to 35,486 and 76,968

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Solution

The third proportional to 35,486 and 76,968 is: 166,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,486 : 76,968 = 76,968 : x
  2. Step 2: Convert to fraction form
    35,486/76,968 = 76,968/x
  3. Step 3: Cross multiply
    35,486x = 76,968 × 76,968
  4. Step 4: Simplify right side
    35,486x = 5,924,073,024
  5. Step 5: Solve for x
    x = 5,924,073,024/35,486
  6. Step 6: Final answer
    x = 166,941.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.