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Finding the Third Proportional to 48,514 and 74,934

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Solution

The third proportional to 48,514 and 74,934 is: 115,741.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,514 : 74,934 = 74,934 : x
  2. Step 2: Convert to fraction form
    48,514/74,934 = 74,934/x
  3. Step 3: Cross multiply
    48,514x = 74,934 × 74,934
  4. Step 4: Simplify right side
    48,514x = 5,615,104,356
  5. Step 5: Solve for x
    x = 5,615,104,356/48,514
  6. Step 6: Final answer
    x = 115,741.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.