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Finding the Third Proportional to 35,514 and 77,940

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Solution

The third proportional to 35,514 and 77,940 is: 171,049.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,514 : 77,940 = 77,940 : x
  2. Step 2: Convert to fraction form
    35,514/77,940 = 77,940/x
  3. Step 3: Cross multiply
    35,514x = 77,940 × 77,940
  4. Step 4: Simplify right side
    35,514x = 6,074,643,600
  5. Step 5: Solve for x
    x = 6,074,643,600/35,514
  6. Step 6: Final answer
    x = 171,049.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.