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Finding the Third Proportional to 49,010 and 71,623

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Solution

The third proportional to 49,010 and 71,623 is: 104,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,010 : 71,623 = 71,623 : x
  2. Step 2: Convert to fraction form
    49,010/71,623 = 71,623/x
  3. Step 3: Cross multiply
    49,010x = 71,623 × 71,623
  4. Step 4: Simplify right side
    49,010x = 5,129,854,129
  5. Step 5: Solve for x
    x = 5,129,854,129/49,010
  6. Step 6: Final answer
    x = 104,669.54

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Why These Related Problems?

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