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Finding the Third Proportional to 30,876.75 and 47,103.75

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Solution

The third proportional to 30,876.75 and 47,103.75 is: 71,858.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.75 : 47,103.75 = 47,103.75 : x
  2. Step 2: Convert to fraction form
    30,876.75/47,103.75 = 47,103.75/x
  3. Step 3: Cross multiply
    30,876.75x = 47,103.75 × 47,103.75
  4. Step 4: Simplify right side
    30,876.75x = 2,218,763,264.06
  5. Step 5: Solve for x
    x = 2,218,763,264.06/30,876.75
  6. Step 6: Final answer
    x = 71,858.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.