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Finding the Third Proportional to 49,011 and 71,625

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Solution

The third proportional to 49,011 and 71,625 is: 104,673.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,011 : 71,625 = 71,625 : x
  2. Step 2: Convert to fraction form
    49,011/71,625 = 71,625/x
  3. Step 3: Cross multiply
    49,011x = 71,625 × 71,625
  4. Step 4: Simplify right side
    49,011x = 5,130,140,625
  5. Step 5: Solve for x
    x = 5,130,140,625/49,011
  6. Step 6: Final answer
    x = 104,673.25

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.