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Finding the Third Proportional to 35,460 and 76,716

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Solution

The third proportional to 35,460 and 76,716 is: 165,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,460 : 76,716 = 76,716 : x
  2. Step 2: Convert to fraction form
    35,460/76,716 = 76,716/x
  3. Step 3: Cross multiply
    35,460x = 76,716 × 76,716
  4. Step 4: Simplify right side
    35,460x = 5,885,344,656
  5. Step 5: Solve for x
    x = 5,885,344,656/35,460
  6. Step 6: Final answer
    x = 165,971.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.