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Finding the Third Proportional to 32,628 and 71,475

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Solution

The third proportional to 32,628 and 71,475 is: 156,573.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,628 : 71,475 = 71,475 : x
  2. Step 2: Convert to fraction form
    32,628/71,475 = 71,475/x
  3. Step 3: Cross multiply
    32,628x = 71,475 × 71,475
  4. Step 4: Simplify right side
    32,628x = 5,108,675,625
  5. Step 5: Solve for x
    x = 5,108,675,625/32,628
  6. Step 6: Final answer
    x = 156,573.36

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.