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Finding the Third Proportional to 25,099 and 33,461

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Solution

The third proportional to 25,099 and 33,461 is: 44,608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,099 : 33,461 = 33,461 : x
  2. Step 2: Convert to fraction form
    25,099/33,461 = 33,461/x
  3. Step 3: Cross multiply
    25,099x = 33,461 × 33,461
  4. Step 4: Simplify right side
    25,099x = 1,119,638,521
  5. Step 5: Solve for x
    x = 1,119,638,521/25,099
  6. Step 6: Final answer
    x = 44,608.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.