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Finding the Third Proportional to 30,881 and 47,110.25

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Solution

The third proportional to 30,881 and 47,110.25 is: 71,868.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,881 : 47,110.25 = 47,110.25 : x
  2. Step 2: Convert to fraction form
    30,881/47,110.25 = 47,110.25/x
  3. Step 3: Cross multiply
    30,881x = 47,110.25 × 47,110.25
  4. Step 4: Simplify right side
    30,881x = 2,219,375,655.06
  5. Step 5: Solve for x
    x = 2,219,375,655.06/30,881
  6. Step 6: Final answer
    x = 71,868.65

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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.