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Finding the Third Proportional to 47,479 and 73,514

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Solution

The third proportional to 47,479 and 73,514 is: 113,825.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,479 : 73,514 = 73,514 : x
  2. Step 2: Convert to fraction form
    47,479/73,514 = 73,514/x
  3. Step 3: Cross multiply
    47,479x = 73,514 × 73,514
  4. Step 4: Simplify right side
    47,479x = 5,404,308,196
  5. Step 5: Solve for x
    x = 5,404,308,196/47,479
  6. Step 6: Final answer
    x = 113,825.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.