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Finding the Third Proportional to 25,652 and 38,819

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Solution

The third proportional to 25,652 and 38,819 is: 58,744.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,652 : 38,819 = 38,819 : x
  2. Step 2: Convert to fraction form
    25,652/38,819 = 38,819/x
  3. Step 3: Cross multiply
    25,652x = 38,819 × 38,819
  4. Step 4: Simplify right side
    25,652x = 1,506,914,761
  5. Step 5: Solve for x
    x = 1,506,914,761/25,652
  6. Step 6: Final answer
    x = 58,744.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.