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Finding the Third Proportional to 47,925 and 67,199.63

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Solution

The third proportional to 47,925 and 67,199.63 is: 94,226.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,925 : 67,199.63 = 67,199.63 : x
  2. Step 2: Convert to fraction form
    47,925/67,199.63 = 67,199.63/x
  3. Step 3: Cross multiply
    47,925x = 67,199.63 × 67,199.63
  4. Step 4: Simplify right side
    47,925x = 4,515,789,600.14
  5. Step 5: Solve for x
    x = 4,515,789,600.14/47,925
  6. Step 6: Final answer
    x = 94,226.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.