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Finding the Third Proportional to 30,052 and 47,141

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Solution

The third proportional to 30,052 and 47,141 is: 73,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,052 : 47,141 = 47,141 : x
  2. Step 2: Convert to fraction form
    30,052/47,141 = 47,141/x
  3. Step 3: Cross multiply
    30,052x = 47,141 × 47,141
  4. Step 4: Simplify right side
    30,052x = 2,222,273,881
  5. Step 5: Solve for x
    x = 2,222,273,881/30,052
  6. Step 6: Final answer
    x = 73,947.62

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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.