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Finding the Third Proportional to 30,177 and 47,085.75

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Solution

The third proportional to 30,177 and 47,085.75 is: 73,468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,177 : 47,085.75 = 47,085.75 : x
  2. Step 2: Convert to fraction form
    30,177/47,085.75 = 47,085.75/x
  3. Step 3: Cross multiply
    30,177x = 47,085.75 × 47,085.75
  4. Step 4: Simplify right side
    30,177x = 2,217,067,853.06
  5. Step 5: Solve for x
    x = 2,217,067,853.06/30,177
  6. Step 6: Final answer
    x = 73,468.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.