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Finding the Third Proportional to 30,741 and 47,475

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Solution

The third proportional to 30,741 and 47,475 is: 73,318.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,741 : 47,475 = 47,475 : x
  2. Step 2: Convert to fraction form
    30,741/47,475 = 47,475/x
  3. Step 3: Cross multiply
    30,741x = 47,475 × 47,475
  4. Step 4: Simplify right side
    30,741x = 2,253,875,625
  5. Step 5: Solve for x
    x = 2,253,875,625/30,741
  6. Step 6: Final answer
    x = 73,318.23

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.