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Finding the Third Proportional to 30,035 and 47,114

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Solution

The third proportional to 30,035 and 47,114 is: 73,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,035 : 47,114 = 47,114 : x
  2. Step 2: Convert to fraction form
    30,035/47,114 = 47,114/x
  3. Step 3: Cross multiply
    30,035x = 47,114 × 47,114
  4. Step 4: Simplify right side
    30,035x = 2,219,728,996
  5. Step 5: Solve for x
    x = 2,219,728,996/30,035
  6. Step 6: Final answer
    x = 73,904.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.