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Finding the Third Proportional to 35,460 and 52,939

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Solution

The third proportional to 35,460 and 52,939 is: 79,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,460 : 52,939 = 52,939 : x
  2. Step 2: Convert to fraction form
    35,460/52,939 = 52,939/x
  3. Step 3: Cross multiply
    35,460x = 52,939 × 52,939
  4. Step 4: Simplify right side
    35,460x = 2,802,537,721
  5. Step 5: Solve for x
    x = 2,802,537,721/35,460
  6. Step 6: Final answer
    x = 79,033.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.