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Finding the Third Proportional to 30,456 and 48,635.44

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Solution

The third proportional to 30,456 and 48,635.44 is: 77,666.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,456 : 48,635.44 = 48,635.44 : x
  2. Step 2: Convert to fraction form
    30,456/48,635.44 = 48,635.44/x
  3. Step 3: Cross multiply
    30,456x = 48,635.44 × 48,635.44
  4. Step 4: Simplify right side
    30,456x = 2,365,405,780.82
  5. Step 5: Solve for x
    x = 2,365,405,780.82/30,456
  6. Step 6: Final answer
    x = 77,666.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.